Mathematics â€ș Mathematical Physics

Homotopy and Cohomology in Algebraic Topology

Description

This cluster of papers focuses on the deformation quantization of Poisson manifolds, involving topics such as Lie algebroids, homotopy theory, symplectic geometry, model categories, K-theory, operads, and higher algebraic structures. It explores the application of deformation quantization in various mathematical contexts and its implications for understanding geometric and algebraic structures.

Keywords

Deformation Quantization; Poisson Manifolds; Lie Algebroids; Homotopy Theory; Symplectic Geometry; Model Categories; K-Theory; Operads; Higher Algebraic Structures; Stacks

Most Cited Works

Action Title Date Authors
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Elements of Algebraic Topology 2018-03-05 James R. Munkres
The topology of four-dimensional manifolds 1982-01-01 Michael Freedman
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Basic concepts of enriched category theory 1982-01-01 G. M. Kelly
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Linear algebraic groups 1966-01-01 Armand Borel
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Introduction: Motivation 2020-03-06 Chris Wendl
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Cohomology of Number Fields 2008-01-01 JĂŒrgen Neukirch Alexander Schmidt Kay Wingberg
Simplicial Homotopy Theory 2009-01-01 Paul G. Goerss John F. Jardine
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The geometry and topology of three-manifolds 1979-01-01 William P. Thurston
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4-Manifolds and Kirby Calculus 1999-08-31 Robert E. Gompf AndrĂĄs I. Stipsicz
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An Introduction to Homological Algebra 2008-10-02 Joseph Rotman
Introduction to Smooth Manifolds 2012-01-01 John M. Lee
Introduction to symplectic topology 2006-02-06 Dusa McDuff
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Model Categories and Their Localizations 2009-08-24 Philip Hirschhorn
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Representations of Compact Lie Groups 1985-01-01 Theodor Bröcker Tammo tom Dieck
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Natural Operations in Differential Geometry 1993-01-01 Ivan Koláƙ Jan Slovák Peter W. Michor
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Differential Forms in Algebraic Topology 1982-01-01 Raoul Bott Loring W. Tu
Quantum field theory and the Jones polynomial 1989-09-01 Edward Witten
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Structural equivalence of individuals in social networks 1971-01-01 François Lorrain Harrison C. White
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Higher algebraic K-theory: I 1973-01-01 Daniel Quillen
Infinitesimal computations in topology 1977-12-01 Dennis Sullivan
Stability of Persistence Diagrams 2006-12-11 David Cohen‐Steiner Herbert Edelsbrunner John Harer
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Topology from the Differentiable Viewpoint. 1967-04-01 Edgar H. Brown John Milnor
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A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories 1986-11-01 Ana AchĂșcarro Paul Townsend
Two-dimensional gravity and intersection theory on moduli space 1990-01-01 Edward Witten
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On the Deformation of Rings and Algebras 1964-01-01 Murray Gerstenhaber
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Lie Groups, Lie Algebras, and Their Representations 1984-01-01 V. S. Varadarajan
Barcodes: The persistent topology of data 2007-10-26 Robert Ghrist
Deformation Quantization of Poisson Manifolds 2003-12-01 Maxim Kontsevich
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The Yang-Mills equations over Riemann surfaces 1983-03-17 Michael Atiyah Raoul Bott
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Gauge algebra and quantization 1981-06-01 I. A. Batalin G. A. Vilkovisky
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Invariants of 3-manifolds via link polynomials and quantum groups 1991-12-01 Nicolai Reshetikhin Vladimir G. Turaev
A new polynomial invariant of knots and links 1985-01-01 Peter Freyd David N. Yetter Jim Hoste W. B. R. Lickorish Kenneth C. Millett Adrian Ocneanu
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The Geometry of Moduli Spaces of Sheaves 1997-01-01 Daniel Huybrechts Manfred Lehn
A polynomial invariant for knots via von Neumann algebras 1985-01-01 Vaughan F. R. Jones
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Deformation theory and quantization. I. Deformations of symplectic structures 1978-03-01 F. Bayen M. Flato C. FrÞnsdal André Lichnerowicz Daniel Sternheimer
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Strings on orbifolds 1985-01-01 Lance J. Dixon Jeffrey A. Harvey Cumrun Vafa Edward Witten
Canonical bases arising from quantized enveloping algebras 1990-01-01 G. Lusztig
The Geometry of Iterated Loop Spaces 1972-01-01 J. P. May
Homological Algebra of Mirror Symmetry 1995-01-01 Maxim Kontsevich
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State models and the jones polynomial 1987-01-01 Louis H. Kauffman
Computing Persistent Homology 2004-11-19 Afra Zomorodian Gunnar Carlsson
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The moment map and equivariant cohomology 1984-01-01 Michael Atiyah R. Bott
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Topological Methods in Algebraic Geometry 1966-01-01 Friedrich Hirzebruch
Lectures on Algebraic Topology 1995-01-01 Albrecht Dold
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Quasiconformal Mappings in the Plane 1973-01-01 Olli Lehto K. I. Virtanen
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Elements of Homotopy Theory 1978-01-01 George W. Whitehead
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Lie superalgebras 1977-10-01 Victor G. Kač
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Hyperbolic Groups 1987-01-01 M. Gromov
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Cohomology of Groups 1982-01-01 Kenneth S. Brown
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Homotopy Limits, Completions and Localizations 1972-01-01 A. K. Bousfield Daniel M. Kan

Most Recent Works

Action Title Date Authors
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The Bianchi classification of Lie algebras, Riemannian manifolds, and cosmologies 2025-04-24
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Gravity and geometry, Lovelock and Chern–Simons, topological terms, extensions, and anomalies 2025-04-24
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A probabilistic proof for the Syracuse conjecture 2025-04-24 Imad El ghazi
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Maximal Tychonoff spaces and minimal paracompact $$T_{2}$$ spaces 2025-04-25 Sanjoy Mandal
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Kernels in measurable cohomology for transitive actions 2025-04-24 Michelle Bucher Alessio Savini
2-torsion in instanton Floer homology 2025-04-24 Zhenkun Li Fan Ye
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Stretch maps on the affine-additive group 2025-04-25 ZoltĂĄn M. Balogh Elia Bubani Ioannis D. Platis
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Orientation-preserving homeomorphisms of Euclidean space are commutators 2025-04-25 M. Ashraf Bhat Nicholas G. Vlamis
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Braid group actions on branched coverings and full exceptional sequences 2025-04-25 Wen Chang Fabian Haiden Sibylle Schroll
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Two curious strongly invertible L-space knots 2025-04-25 Kenneth L. Baker Marc Kegel Duncan McCoy
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Singular Homology 2025-04-25
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Dirac products and concurring Dirac structures 2025-04-26 Pedro Frejlich David MartĂ­nez Torres
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The multiple fibration problem for seifert 3-Orbifolds 2025-04-26 Oliviero Malech Mattia Mecchia Andrea Seppi
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Metrizability and dynamics of Weil bundles 2025-04-29 Stéphane Tchuiaga Moussa Koivogui FidÚle Balibuno
Tangential Fixpoint Iterations for Gromov–Wasserstein Barycenters 2025-04-28 Florian Beier Robert Beinert
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Homological Berglund–HĂŒbsch–Henningson mirror symmetry for curve singularities 2025-04-28 Matthew Habermann
Embedding groups into boundedly acyclic groups 2025-04-27 Fan Wu Xiaolei Wu Mengfei Zhao ZIQING zhou
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Mixed cohomology of filiform Lie superalgebra of super-nilindex (1, 2) 2025-04-29 Jixia Yuan Yuqiu Sheng Wei Bai
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On the growth of the number of prime knots 2025-04-29 А. И. АлДĐșсДДĐČ A. M. Vershik A. V. Malyutin
Strong cohomological rigidity of Bott manifolds 2025-04-29 Suyoung Choi Taekgyu Hwang Hyeontae Jang
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Posets, their incidence algebras and relative operads, and the cohomology comparison theorem 2025-04-30 Vane Jacky III Batkam Mbatchou Frédéric Patras Calvin Tcheka
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Simple closed curves, non‐kernel homology and Magnus embedding 2025-04-30 Adam Klukowski
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Cocycles in Lie Groups, Cochains and Regularity Problem 2025-05-01 Maria Laureano
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The Wigner formalism on black hole geometries 2025-05-02 José A. R. Cembranos David Córdoba García
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General theory of localizations of rings and modules 2025-05-01 V. V. Bavula
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On cohomological characterizations of endotrivial modules 2025-05-01 Fei Xu Chenyou Zheng
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A regularization theorem for bounded-degree self-maps 2025-04-29 She Yang
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The elementary particles as knots in the SU(2) higher homotopy Hopf group 2025-05-01 Brian Jonathan Wolk
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Dualizing complexes on the moduli of parabolic bundles 2025-05-05 Linus Hamann Naoki Imai
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The natural operators lifting $q$-forms to $p$-forms on Weil bundles 2025-05-05 WƂodzimierz M. Mikulski
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Simplicial complexes associated to character degrees of solvable groups 2025-05-05 Aleksandra Kostić Nela Miloơević Zoran Z. Petrović
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Episodes from the history of infinitesimals 2025-05-05 Mikhail G. Katz
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Single and multi-valued Hilbert-bundle renormings 2025-05-06 Alexandru Chirvăsitu
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Set (strongly) star Scheepers spaces 2025-05-01 Fortunato Maesano
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Planar Equivalence of Knotoids and Quandle Invariants 2025-05-01 Mohamed Elhamdadi Wout Moltmaker Masahico Saito
Homotopy equivalences and Grothendieck duality over rings with finite Gorenstein weak global dimension 2025-05-01 Junpeng Wang Sergio Estrada
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Primitives of volume forms in Carnot groups 2025-05-06 Annalisa Baldi Bruno Franchi Pierre Pansu
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Relating ample and biample topological categories with Boolean restriction and range semigroups 2025-05-07 Ganna Kudryavtseva
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The equivariant B model 2025-05-06 Guido Festuccia Roman Mauch Maxim Zabzine
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Global representation ring and Knutson Index 2025-05-07 Dylan Johnston Diego MartĂ­n Duro Dmitriy Rumynin
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A Toponogov globalisation result for Lorentzian length spaces 2025-05-07 Tobias Beran John Harvey Lewis Napper Felix Rott
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Affine $$\mathcal{W}$$-Algebras and Miura Maps from 3d $$\mathcal {N}\text {=}\,4$$ Non-Abelian Quiver Gauge Theories 2025-05-07 Ioana Coman Myungbo Shim Masahito Yamazaki Yehao Zhou
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A GEOMETRIC MODEL FOR TWISTED DIFFERENTIAL K-HOMOLOGY AND ITS APPLICATIONS 2025-05-01 Abdelkhalek Hboussa
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GEOMETRIC MODELS FOR TWISTED ℝ/â„€-K-HOMOLOGY 2025-05-01 Abdelkhalek Hboussa Mohamed Maghfoul
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Sphere bundles over 4-manifolds are trivial after looping 2025-05-07 Ruizhi Huang
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What a set is: the V-view 2025-05-08 W. Hugh Woodin
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Colored sl(N) homology and SU(N) representations 2025-05-09 Joshua Wang
Topology of Cut Complexes II 2025-05-09 Margaret M. Bayer Mark Denker Marija Jelić Milutinović Sheila Sundaram Xue Lei
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Cohomology of the differential fundamental group of algebraic curves 2025-05-01 VĂ” QuĂŽc Bao PhĂčng HĂŽ HĂĄi Đào Văn Thịnh
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Classification of <i>λ</i> -homomorphic braces on â„€ <sup>2</sup> 2025-05-10 Timur Nasybullov I. Novikov