Martin Markl

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All published works

Action	Title	Year	Authors
+	Homotopical Algebra and Higher Structures	2025	Michael Batanin Andrey Lazarev Muriel Livernet Martin Markl
+ PDF Chat	Cloven operadic categories: An approach to operadic categories with cardinalities in finite unordered sets	2025	Martin Markl
+ PDF Chat	Operads, Operadic Categories and the Blob Complex	2024	Michael Batanin Martin Markl
+ PDF Chat	Koszul duality for operadic categories	2023	Michael Batanin Martin Markl
+ PDF Chat	Operadic categories as a natural environment for Koszul duality	2023	Michael Batanin Martin Markl
+	Corrigendum to “Minimal models for graph-related (hyper)operads” [J. Pure Appl. Algebra 227 (7) (2023) 107329]	2023	Michael Batanin Martin Markl Jovana Obradović
+ PDF Chat	Minimal models for graph-related (hyper)operads	2023	Michael Batanin Martin Markl Jovana Obradović
+	Homotopical Algebra and Higher Structures	2022	Michael Batanin Andrey Lazarev Muriel Livernet Martin Markl
+	Operads, operadic categories and the blob complex	2022	Michael Batanin Martin Markl
+ PDF Chat	Calculus of multilinear differential operators, operator L∞-algebras and IBL∞-algebras	2021	Denis Bashkirov Martin Markl
+	Calculus of multilinear differential operators, operator $L_\infty$-algebras and ${\it IBL}_\infty$-algebras	2021	Denis Bashkirov Martin Markl
+	Which homotopy algebras come from transfer?	2021	Martin Markl Christopher L. Rogers
+	Koszul duality for operadic categories	2021	Michael Batanin Martin Markl
+	Koszul duality for operadic categories	2021	Michael Batanin Martin Markl
+	Which homotopy algebras come from transfer	2020	Martin Markl Christopher L. Rogers
+	Permutads via operadic categories, and the hidden associahedron	2020	Martin Markl
+	Minimal models for graphs-related operadic algebras	2020	Michael Batanin Martin Markl Jovana Obradović
+ PDF Chat	Non-Koszulness of Operads and Positivity of Poincaré Series	2020	Vladimir Dotsenko Martin Markl Elisabeth Remm
+	Feynman Transform of a Modular Operad	2020	M. Doubek Branislav Jurčo Martin Markl Ivo Sachs
+	Structures Relevant to Physics	2020	M. Doubek Branislav Jurčo Martin Markl Ivo Sachs
+	Introduction	2020	M. Doubek Branislav Jurčo Martin Markl Ivo Sachs
+	Operads	2020	M. Doubek Branislav Jurčo Martin Markl Ivo Sachs
+	Which homotopy algebras come from transfer?	2020	Martin Markl Christopher L. Rogers
+	Minimal models for graph-related (hyper)operads	2020	Michael Batanin Martin Markl Jovana Obradović
+ PDF Chat	Veronese powers of operads and pure homotopy algebras	2019	Vladimir Dotsenko Martin Markl Elisabeth Remm
+	Permutads via operadic categories, and the hidden associahedron.	2019	Martin Markl
+	Permutads via operadic categories, and the hidden associahedron	2019	Martin Markl
+	Operadic categories as a natural environment for Koszul duality	2018	Michael Batanin Martin Markl
+ PDF Chat	Open-closed modular operads, the Cardy condition and string field theory	2018	M. Doubek Martin Markl
+	Distributive laws between the Three Graces	2018	Murray R. Bremner Martin Markl
+	Operadic categories as a natural environment for Koszul duality	2018	Michael Batanin Martin Markl
+	The MV formalism for $${\mathrm{IBL}}_\infty $$ IBL ∞ - and $${\mathrm{BV}}_\infty $$ BV ∞ -algebras	2017	Martin Markl Alexander A. Voronov
+	Open-closed modular operads, Cardy condition and string field theory	2016	M. Doubek Martin Markl
+ PDF Chat	Odd Structures Are Odd	2016	Martin Markl
+ PDF Chat	Modular envelopes, OSFT and nonsymmetric (non-$\Sigma$) modular operads	2016	Martin Markl
+	Odd structures are odd	2016	Martin Markl
+	Open-closed modular operads, Cardy condition and string field theory	2016	M. Doubek Martin Markl
+	The MV formalism for ${\rm IBL}_\infty$- and ${\rm BV}_\infty$-algebras	2015	Martin Markl Alexander A. Voronov
+	Operadic categories and duoidal Deligne's conjecture	2015	Michael Batanin Martin Markl
+	An <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si42.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mi>∞</mml:mi></mml:mrow></mml:msub></mml:math>-extension of the associahedra and the Tamarkin cell mystery	2015	Martin Markl
+	Disconnected rational homotopy theory	2015	Andrey Lazarev Martin Markl
+ PDF Chat	Universal Deformation Formulas	2015	Elisabeth Remm Martin Markl
+ PDF Chat	Higher Braces Via Formal (Non)Commutative Geometry	2015	Martin Markl
+	The MV formalism for ${\rm IBL}_\infty$- and ${\rm BV}_\infty$-algebras	2015	Martin Markl Alexander A. Voronov
+ PDF Chat	(Non-)Koszulness of operads for $$n$$ n -ary algebras, galgalim and other curiosities	2014	Martin Markl Elisabeth Remm
+	Modular envelopes, OSFT and nonsymmetric (non-$\Sigma$) modular operads	2014	Martin Markl
+ PDF Chat	Crossed interval groups and operations on the Hochschild cohomology	2014	Michael Batanin Martin Markl
+ PDF Chat	On the origin of higher braces and higher-order derivations	2014	Martin Markl
+	Operadic categories and Duoidal Deligne's conjecture	2014	Michael Batanin Martin Markl
+	Operadic categories and Duoidal Deligne's conjecture	2014	Michael Batanin Martin Markl
+	Higher braces via formal (non)commutative geometry	2014	Martin Markl
+	Modular envelopes, OSFT and nonsymmetric (non-$Σ$) modular operads	2014	Martin Markl
+ PDF Chat	The impact of the Journal of Homotopy and Related Structures	2013	Martin Markl
+	On the origin of higher braces and higher-order derivations	2013	Martin Markl
+ PDF Chat	Bipermutahedron and biassociahedron	2013	Martin Markl
+	Universal deformation formulas	2013	Elisabeth Remm Martin Markl
+	Disconnected rational homotopy theory	2013	Andrey Lazarev Martin Markl
+	Universal deformation formulas	2013	Elisabeth Remm Martin Markl
+	On the origin of higher braces and higher-order derivations	2013	Martin Markl
+	Disconnected rational homotopy theory	2013	Andrey Lazarev Martin Markl
+	Bipermutahedron and biassociahedron	2012	Martin Markl
+	𝐿_{∞}-algebras governing deformations	2012	Martin Markl
+	Finer structures of cohomology	2012	Martin Markl
+	Deformations and cohomology	2012	Martin Markl
+	Homotopy invariance and quantization	2012	Martin Markl
+	The simplicial Maurer-Cartan space	2012	Martin Markl
+	Strongly homotopy Lie algebras	2012	Martin Markl
+	Deformation Theory of Algebras and Their Diagrams	2012	Martin Markl
+	Deformation Theory of Algebras and Their Diagrams	2012	Martin Markl
+	Centers and homotopy centers in enriched monoidal categories	2012	Michael Batanin Martin Markl
+ PDF Chat	Combinatorial differential geometry and ideal Bianchi–Ricci identities II – the torsion case	2012	Josef Janyška Martin Markl
+	Bipermutahedron and biassociahedron	2012	Martin Markl
+ PDF Chat	Combinatorial differential geometry and ideal Bianchi–Ricci identities	2011	Josef Janyška Martin Markl
+	Operads for n-ary algebras - calculations and conjectures	2011	Martin Markl Elisabeth Remm
+	Operads for n-ary algebras - calculations and conjectures	2011	Martin Markl Elisabeth Remm
+	Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case	2011	Josef Janyška Martin Markl
+	Centers and homotopy centers in enriched monoidal categories	2011	Michael Batanin Martin Markl
+	Combinatorial differential geometry and ideal Bianchi-Ricci identities II - the torsion case	2011	Josef Janyška Martin Markl
+	Operads for n-ary algebras - calculations and conjectures	2011	Martin Markl Elisabeth Remm
+	(Non-)Koszulity of operads for n-ary algebras, cohomology and deformations	2009	Martin Markl Elisabeth Remm
+	(Non-)Koszulness of operads for n-ary algebras, galgalim and other curiosities	2009	Martin Markl Elisabeth Remm
+ PDF Chat	PROPped-Up Graph Cohomology	2009	Martin Markl Alexander A. Voronov
+	Operads of natural operations I: Lattice paths, braces and Hochschild cochains	2009	Michael Batanin Clemens Berger Martin Markl
+	The L ∞ -deformation complex of diagrams of algebras	2009	Yaël Frégier Martin Markl Donald Yau
+	(Non-)Koszulness of operads for n-ary algebras, galgalim and other curiosities	2009	Martin Markl Elisabeth Remm
+	Natural differential operators and graph complexes	2008	Martin Markl
+	Wheeled PROPs, graph complexes and the master equation	2008	Martin Markl Sergei Merkulov Sergey Shadrin
+	Crossed interval groups and operations on the Hochschild cohomology	2008	Michael Batanin Martin Markl
+	$GL_n$-Invariant tensors and graphs	2008	Martin Markl
+	Operads and PROPs	2008	Martin Markl
+	The L_\infty-deformation complex of diagrams of algebras	2008	Yaël Frégier Martin Markl Donald Yau
+	Invariant tensors and graphs	2008	Martin Markl
+	Combinatorial differential geometry and ideal Bianchi-Ricci identities	2008	Josef Janyška Martin Markl
+	Crossed interval groups and operations on the Hochschild cohomology	2008	Michael Batanin Martin Markl
+	Operads in Algebra, Topology and Physics	2007	Martin Markl Steve Shnider Jim Stasheff
+	Operads in a symmetric monoidal category	2007	Martin Markl Steve Shnider Jim Stasheff
+	Generalization of operads	2007	Martin Markl Steve Shnider Jim Stasheff
+	Algebra	2007	Martin Markl Steve Shnider Jim Stasheff
+	Geometry	2007	Martin Markl Steve Shnider Jim Stasheff
+ PDF Chat	Cohomology operations and the deligne conjecture	2007	Martin Markl
+	Deformation Theory (lecture notes)	2007	M. Doubek Martin Markl Petr Zima
+	Deformation Theory (Lecture Notes)	2007	M. Doubek Martin Markl Petr Zima
+	Operads and PROPs	2006	Martin Markl
+	Natural differential operators and graph complexes	2006	Martin Markl
+	Transferring $A_\infty$ (strongly homotopy associative) structures	2006	Martin Markl
+ PDF Chat	Associahedra, cellular $W$-construction and products of $A_\infty $-algebras	2005	Martin Markl Steve Shnider
+	Algebras with one operation including Poisson and other Lie-admissible algebras	2005	Martin Markl Elisabeth Remm
+	A resolution (minimal model) of the PROP for bialgebras	2005	Martin Markl
+ PDF Chat	Symmetric Brace Algebras	2005	Tom Lada Martin Markl
+	Lie elements in pre-Lie algebras, trees and cohomology operations	2005	Martin Markl
+ PDF Chat	Free homotopy algebras	2005	Martin Markl
+	Cohomology operations and the Deligne conjecture	2005	Martin Markl
+	Multiplicative models for configuration spaces of algebraic varieties	2004	Barbu Berceanu Martin Markl Ş. Papadima
+	The existence of intrinsic brackets on the cohomology of bialgebras	2004	Martin Markl
+	Homotopy algebras are homotopy algebras	2004	Martin Markl
+	Transferring $A_\infty$ (strongly homotopy associative) structures	2004	Martin Markl
+	Intrinsic brackets and the $L_\infty$-deformation theory of bialgebras	2004	Martin Markl
+	Algebras with one operation including Poisson and other Lie-admissible algebras	2004	Martin Markl Elisabeth Remm
+	Free Homotopy Algebras	2004	Martin Markl
+	Transferring $A_\infty$ (strongly homotopy associative) structures	2004	Martin Markl
+	Associahedra, cellular W-construction and products of $A_\infty$-algebras	2003	Martin Markl Steve Shnider
+ PDF Chat	Higher homotopy operations	2003	David Blanc Martin Markl
+	An E-infty-extension of the associahedra and the Tamarkin cell mystery	2003	Martin Markl
+	Symmetric Brace Algebras	2003	Tom Lada Martin Markl
+	Multiplicative models for configuration spaces of algebraic varieties	2003	Barbu Berceanu Martin Markl Ştefan Papadima
+	An E-infty-extension of the associahedra and the Tamarkin cell mystery	2003	Martin Markl
+	Associahedra, cellular W-construction and products of $A_\infty$-algebras	2003	Martin Markl Steve Shnider
+	PROPped up graph cohomology	2003	Martin Markl Alexander A. Voronov
+	Free Loop Spaces and Cyclohedra	2002	Martin Markl
+	Higher Homotopy Operations	2002	David Blanc Martin Markl
+	A resolution (minimal model) of the PROP for bialgebras	2002	Martin Markl
+ PDF Chat	Loop Homotopy Algebras in Closed String Field Theory	2001	Martin Markl
+	Homotopy Diagrams of Algebras	2001	Martin Markl
+ PDF Chat	IDEAL PERTURBATION LEMMA	2001	Martin Markl
+	Ideal Perturbation Lemma	2000	Martin Markl
+	A Compactification of the Real Configuration Space as an Operadic Completion	1999	Martin Markl
+	Simplex, associahedron, and cyclohedron	1999	Martin Markl
+	Differential operator endomorphisms of an Euler-Lagrange complex	1999	Martin Markl Steve Shnider
+	Homotopy Algebras are Homotopy Algebras	1999	Martin Markl
+	Cyclic operads and homology of graph complexes	1998	Martin Markl
+	Homotopy Algebras via Resolutions of Operads	1998	Martin Markl
+	Cyclic operads and homology of graph complexes	1998	Martin Markl
+	Differential Operator Endomorphisms of an Euler-Lagrange Complex	1998	Martin Markl Steve Shnider
+	Coherence Without Commutative Diagrams, Lie-Hedra and Other Curiosities	1997	Martin Markl Steve Shnider
+	Coherence Constraints for Operads, Categories and Algebras	1997	Martin Markl Steve Shnider
+	Distributive laws, bialgebras, and cohomology	1997	Thomas F. Fox Martin Markl
+	Simplex, associahedron, and cyclohedron	1997	Martin Markl
+	Cotangent cohomology of a category and deformations	1996	Martin Markl
+ PDF Chat	Drinfel´d algebra deformations, homotopy comodules and the associahedra	1996	Martin Markl Steve Shnider
+	A Compactification of the Real Configuration Space as an Operadic Completion	1996	Martin Markl
+	Models for operads	1996	Martin Markl
+ PDF Chat	Distributive laws and Koszulness	1996	Martin Markl
+	Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type	1996	Shahn Majid Martin Markl
+	None	1996	Martin Markl Steve Shnider
+	Cohomology of Drinfel'd algebras: A General Nonsense Approach	1995	Martin Markl Steve Shnider
+	Cohomology of Drinfel'd algebras: A General Nonsense Approach	1995	Martin Markl Steve Shnider
+	Strongly homotopy lie algebras	1995	Tom Lada Martin Markl
+	Models for Operads	1994	Martin Markl
+	Distributive Laws and the Koszulness	1994	Martin Markl
+	Drinfel'd algebra deformations, homotopy comodules and the associahedra	1994	Martin Markl Steve Shnider
+	Strongly homotopy Lie algebras	1994	Tom Lada Martin Markl
+	None	1994	Martin Markl Steve Shnider
+	Moduli spaces for fundamental groups and link invariants derived from the lower central series	1993	Martin Markl Ştefan Papadima
+	Formal computations in low-dimensional topology: links and group presentations	1993	Martin Markl
+	Glueing operation for r-matrices, quantum groups and link-invariants of Hecke type	1993	Shahn Majid Martin Markl
+	Drinfel'd algebra deformations and the associahedra	1993	Martin Markl Steve Shnider
+	A cohomology theory for A(m)-algebras and applications	1992	Martin Markl
+ PDF Chat	Homotopy Lie algebras and fundamental groups via deformation theory	1992	Martin Markl Ştefan Papadima
+	Geometric decompositions, algebraic models and rigidity theorems	1991	Martin Markl Ştefan Papadima
+ PDF Chat	On the rational homotopy Lie algebra of spaces with finite dimensional rational cohomology and homotopy	1989	Martin Markl
+ PDF Chat	The real K-ring of some CW-complexes of small dimension	1988	Martin Markl
+ PDF Chat	On bijectivity of the canonical transformation $[\beta_G X;Y]_G \to [X;Y]_G$	1988	Vojtěch Bartík Martin Markl
+	Note on the existence of almost omplex structures on compact manifolds	1986	Martin Markl
+	Regular functions over conformal quaternionic manifolds	1981	Martin Markl

Common Coauthors

Coauthor	Papers Together
Michael Batanin	23
Steve Shnider	19
Elisabeth Remm	14
M. Doubek	9
Jim Stasheff	5
Alexander A. Voronov	5
Andrey Lazarev	5
Josef Janyška	5
Ivo Sachs	4
Branislav Jurčo	4
Jovana Obradović	4
Tom Lada	4
Ştefan Papadima	4
Christopher L. Rogers	3
Denis Bashkirov	2
David Blanc	2
Barbu Berceanu	2
Petr Zima	2
Muriel Livernet	2
Vladimir Dotsenko	2
Yaël Frégier	2
Shahn Majid	2
Donald Yau	2
Clemens Berger	1
Murray R. Bremner	1
Stefan Papadima	1
Thomas F. Fox	1
Sergei Merkulov	1
Vojtěch Bartík	1
Sergey Shadrin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Koszul duality for operads	1994	Victor Ginzburg Mikhail Kapranov	44
+	Models for operads	1996	Martin Markl	42
+ PDF Chat	Homotopy associativity of 𝐻-spaces. II	1963	James Stasheff	40
+	Homotopy algebras are homotopy algebras	2004	Martin Markl	34
+	Operads in Algebra, Topology and Physics	2007	Martin Markl Steve Shnider Jim Stasheff	26
+	Strongly homotopy lie algebras	1995	Tom Lada Martin Markl	24
+	A cohomology theory for A(m)-algebras and applications	1992	Martin Markl	22
+	Operads, homotopy algebra and iterated integrals for double loop spaces	1994	Ezra Getzler John D. S. Jones	21
+	Cotangent cohomology of a category and deformations	1996	Martin Markl	20
+	The Cohomology Structure of an Associative Ring	1963	Murray Gerstenhaber	19
+	Operads and PROPs	2008	Martin Markl	19
+ PDF Chat	Homotopy Invariant Algebraic Structures on Topological Spaces	1973	J. M. Boardman R. M. Vogt	18
+ PDF Chat	The Geometry of Iterated Loop Spaces	1972	J. P. May	17
+ PDF Chat	Introduction to SH Lie algebras for physicists	1993	Tom Lada Jim Stasheff	15
+ PDF Chat	KoSzul duality for dioperads	2003	Wee Liang Gan	15
+	Modular operads	1994	Ezra Getzler Mikhail Kapranov	14
+	Cyclic Operads and Cyclic Homology	1995	Ezra Getzler Mikhail Kapranov	14
+ PDF Chat	PROPped-Up Graph Cohomology	2009	Martin Markl Alexander A. Voronov	14
+ PDF Chat	Infinitesimal computations in topology	1977	Dennis Sullivan	13
+ PDF Chat	Distributive laws and Koszulness	1996	Martin Markl	13
+	A Koszul duality for props	2007	Bruno Vallette	12
+	Algebras with one operation including Poisson and other Lie-admissible algebras	2005	Martin Markl Elisabeth Remm	12
+	Monoidal Globular Categories As a Natural Environment for the Theory of Weakn-Categories	1998	Michael Batanin	12
+	A resolution (minimal model) of the PROP for bialgebras	2005	Martin Markl	11
+ PDF Chat	Categories for the Working Mathematician	1971	Saunders Mac Lane	10
+	Homotopy Associativity of H-Spaces. I	1963	James Stasheff	10
+ PDF Chat	None	1998	Ezra Getzler Ezra Getzler M. M. Kapranov	10
+	Pre-Lie algebras and the rooted trees operad	2001	Frédéric Chapoton Muriel Livernet	10
+	Wheeled PROPs, graph complexes and the master equation	2008	Martin Markl Sergei Merkulov Sergey Shadrin	10
+	Rational Homotopy Theory	1969	Daniel Quillen	9
+	On the Deformation of Rings and Algebras	1964	Murray Gerstenhaber	9
+ PDF Chat	Deformation Quantization of Poisson Manifolds	2003	Maxim Kontsevich	9
+	Operadic categories and duoidal Deligne's conjecture	2015	Michael Batanin Martin Markl	9
+	None	2001	Dmitry Tamarkin Boris Tsygan	9
+ PDF Chat	Axiomatic homotopy theory for operads	2003	Clemens Berger Ieke Moerdijk	8
+	Homotopy Lie algebras	1993	Vladimir Hinich Vadim Schechtman	8
+	Formal (Non)-Commutative Symplectic Geometry	1993	Maxim Kontsevich	8
+	The Eckmann–Hilton argument and higher operads	2007	Michael Batanin	8
+	An introduction to algebraic deformation theory	1993	Thomas F. Fox	7
+	Koszul duality of operads and homology of partition posets	2003	Benoît Fresse	7
+ PDF Chat	Loop Homotopy Algebras in Closed String Field Theory	2001	Martin Markl	7
+	Obstructions to homotopy equivalences	1979	Stephen Halperin James Stasheff	7
+ PDF Chat	Tamarkins proof of Kontsevich formality theorem	2003	Vladimir Hinich	7
+ PDF Chat	The lattice path operad and Hochschild cochains	2009	Michael Batanin Clemens Berger	7
+ PDF Chat	Homological algebra of homotopy algebras	1997	Vladimir Hinich	7
+ PDF Chat	Homotopy G-algebras and moduli space operad	1995	Murray Gerstenhaber Alexander A. Voronov	7
+	Operads of natural operations I: Lattice paths, braces and Hochschild cochains	2009	Michael Batanin Clemens Berger Martin Markl	7
+ PDF Chat	Combinatorial operad actions on cochains	2004	Clemens Berger Benoît Fresse	6
+	The Lie algebra structure of tangent cohomology and deformation theory	1985	Michael Schlessinger James Stasheff	6
+ PDF Chat	Bialgebra cohomology, deformations, and quantum groups.	1990	Murray Gerstenhaber S. D. Schack	6