Peter Teichner

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All published works

Action	Title	Year	Authors
+ PDF Chat	Homotopy versus isotopy: 2-spheres in 5-manifolds	2024	Danica Kosanović Rob Schneiderman Peter Teichner
+	A space level light bulb theorem in all dimensions	2024	Danica Kosanović Peter Teichner
+ PDF Chat	Embedding surfaces in 4–manifolds	2024	Daniel Kasprowski Mark Powell Arunima Ray Peter Teichner
+ PDF Chat	A new approach to light bulb tricks: Disks in 4-manifolds	2024	Danica Kosanović Peter Teichner
+	Homotopy versus isotopy: 2-spheres in 5-manifolds	2023	Danica Kosanović Rob Schneiderman Peter Teichner
+ PDF Chat	Homotopy versus isotopy: Spheres with duals in 4-manifolds	2022	Rob Schneiderman Peter Teichner
+ PDF Chat	Four-manifolds up to connected sum with complex projective planes	2022	Daniel Kasprowski Mark Powell Peter Teichner
+	Embedding surfaces in 4-manifolds	2022	Daniel Kasprowski Mark Powell Arunima Ray Peter Teichner
+	Immersions of punctured 4-manifolds	2022	Michael Freedman Daniel Kasprowski Matthias Kreck Alan W. Reid Peter Teichner
+	A new approach to light bulb tricks: Disks in 4-manifolds	2022	Danica Kosanović Peter Teichner
+	The Schoenflies Theorem after Mazur, Morse, and Brown	2021	Stefan Behrens Allison N. Miller Matthias Nagel Peter Teichner
+	A space level light bulb theorem for disks.	2021	Danica Kosanović Peter Teichner
+	The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds	2021	Daniel Kasprowski Mark Powell Peter Teichner
+ PDF Chat	ℂℙ2-stable classification of 4-manifolds with finite fundamental group	2021	Daniel Kasprowski Peter Teichner
+ PDF Chat	Round handle problem	2021	Min Hoon Kim Mark Powell Peter Teichner
+	The Kervaire-Milnor invariant in the stable classification of spin 4-manifolds	2021	Daniel Kasprowski Mark Powell Peter Teichner
+	A space level light bulb theorem in all dimensions	2021	Danica Kosanović Peter Teichner
+	Algebraic criteria for stable diffeomorphism of spin 4-manifolds	2020	Daniel Kasprowski Mark Powell Peter Teichner
+	Clasper Concordance, Whitney towers and repeating Milnor invariants	2020	James Conant Rob Schneiderman Peter Teichner
+	The 4-dimensional disc embedding theorem and dual spheres	2020	Mark Powell Arunima Ray Peter Teichner
+	Algebraic criteria for stable diffeomorphism of spin 4-manifolds	2020	Daniel Kasprowski Mark Powell Peter Teichner
+ PDF Chat	The group of disjoint 2-spheres in 4-space	2019	Rob Schneiderman Peter Teichner
+	Homotopy versus isotopy: spheres with duals in 4--manifolds	2019	Rob Schneiderman Peter Teichner
+	Homotopy versus isotopy: spheres with duals in 4-manifolds	2019	Rob Schneiderman Peter Teichner
+	Four-manifolds up to connected sum with complex projective planes	2018	Daniel Kasprowski Mark Powell Peter Teichner
+	Four-manifolds up to connected sum with complex projective planes	2018	Daniel Kasprowski Mark Powell Peter Teichner
+ PDF Chat	Stable classification of 4-manifolds with 3-manifold fundamental groups	2017	Daniel Kasprowski Markus Land Mark Powell Peter Teichner
+	The Group of Disjoint 2-Spheres in 4-Space	2017	Rob Schneiderman Peter Teichner
+	The round handle problem	2017	Min Hoon Kim Mark Powell Peter Teichner
+	Factorization Algebras and Functorial Field Theories	2017	Owen Gwilliam Stephan Stolz Peter Teichner Mahmoud Zeinalian
+	The Group of Disjoint 2-Spheres in 4-Space	2017	Rob Schneiderman Peter Teichner
+	The round handle problem	2017	Min Hoon Kim Mark Powell Peter Teichner
+ PDF Chat	Cochran's βi-invariants via twisted Whitney towers	2016	Jim Conant Rob Schneiderman Peter Teichner
+	Cochran's $\beta^i$ invariants via twisted Whitney towers	2016	Jim Conant Rob Schneiderman Peter Teichner
+ PDF Chat	Geometric filtrations of string links and homology cylinders	2016	James Conant Robert Schneiderman Peter Teichner
+	Cochran's $β^i$ invariants via twisted Whitney towers	2016	Jim Conant Rob Schneiderman Peter Teichner
+ PDF Chat	Pulling apart 2-spheres in 4-manifolds	2014	Rob Schneiderman Peter Teichner
+ PDF Chat	Milnor invariants and twisted Whitney towers	2013	James Conant Rob Schneiderman Peter Teichner
+	Pulling Apart 2-spheres in 4-manifolds	2012	Rob Schneiderman Peter Teichner
+ PDF Chat	Universal quadratic forms and Whitney tower intersection invariants	2012	James Conant Rob Schneiderman Peter Teichner
+ PDF Chat	Cohomotopy sets of 4–manifolds	2012	Robion Kirby Paul Melvin Peter Teichner
+ PDF Chat	Whitney tower concordance of classical links	2012	James Conant Rob Schneiderman Peter Teichner
+ PDF Chat	Tree homology and a conjecture of Levine	2012	James Conant Rob Schneiderman Peter Teichner
+ PDF Chat	Traces in monoidal categories	2012	Stephan Stolz Peter Teichner
+	Geometric filtrations of string links and homology cylinders	2012	James Conant Rob Schneiderman Peter Teichner
+	Geometric filtrations of string links and homology cylinders	2012	James Β. Conant Rob Schneiderman Peter Teichner
+	Pulling Apart 2-spheres in 4-manifolds	2012	Rob Schneiderman Peter Teichner
+ PDF Chat	Higher-order intersections in low-dimensional topology	2011	Jim Conant Rob Schneiderman Peter Teichner
+	Geometric Filtrations of Classical Link Concordance	2011	James Conant Rob Schneiderman Peter Teichner
+ PDF Chat	Differential forms and 0-dimensional supersymmetric field theories	2011	Henning Hohnhold Matthias Kreck Stephan Stolz Peter Teichner
+	Universal Quadratic Forms and Untwisting Whitney Towers	2011	James Conant Rob Schneiderman Peter Teichner
+ PDF Chat	Supersymmetric field theories and generalized cohomology	2011	Stephan Stolz Peter Teichner
+	Geometric Filtrations of Classical Link Concordance	2011	James Β. Conant Rob Schneiderman Peter Teichner
+	Supersymmetric field theories and generalized cohomology	2011	Stephan Stolz Peter Teichner
+	Traces in monoidal categories	2010	Stephan Stolz Peter Teichner
+ PDF Chat	From minimal geodesics to supersymmetric field theories	2010	Henning Hohnhold Stephan Stolz Peter Teichner
+	Traces in monoidal categories	2010	Stephan Stolz Peter Teichner
+ PDF Chat	New constructions of slice links	2009	Tim D. Cochran Stefan Friedl Peter Teichner
+ PDF Chat	TOPOLOGICAL 4-MANIFOLDS WITH GEOMETRICALLY TWO-DIMENSIONAL FUNDAMENTAL GROUPS	2009	Ian Hambleton Matthias Kreck Peter Teichner
+	Positivity of topological field theories in dimension at least 5	2008	Matthias Kreck Peter Teichner
+	Topological 4-manifolds with geometrically 2-dimensional fundamental groups	2008	Ian Hambleton Matthias Kreck Peter Teichner
+ PDF Chat	Jacobi identities in low-dimensional topology	2007	James Conant Rob Schneiderman Peter Teichner
+	Knot concordance and von Neumann ρ -invariants	2007	Tim D. Cochran Peter Teichner
+	Positive topological field theories and manifolds of dimension 5	2007	Matthias Kreck Peter Teichner
+	New Constructions of Slice Links	2007	Tim D. Cochran Stefan Friedl Peter Teichner
+ PDF Chat	Non-smoothable Four-manifolds with Infinite Cyclic Fundamental Group	2007	Stefan Friedl Ian Hambleton Paul Melvin Peter Teichner
+ PDF Chat	Correction to ‘New topologically slice knots’	2006	Stefan Friedl Peter Teichner
+	Geometric Topology and Connections with Quantum Field Theory	2006	Peter Teichner Stephan Stolz
+	Non-smoothable four-manifolds with cyclic fundamental group	2006	Stefan Friedl Ian Hambleton Paul Melvin Peter Teichner
+ PDF Chat	New topologically slice knots	2005	Stefan Friedl Peter Teichner
+	Knot concordance and von Neumann $\rho$-invariants	2004	Tim D. Cochran Peter Teichner
+ PDF Chat	Whitney towers and the Kontsevich integral	2004	Rob Schneiderman Peter Teichner
+	What is an elliptic object?	2004	Stephan Stolz Peter Teichner
+ PDF Chat	On Knots with trivial Alexander polynomial	2004	Stavros Garoufalidis Peter Teichner
+ PDF Chat	Structure in the classical knot concordance group	2004	Tim D. Cochran Kent E. Orr Peter Teichner
+	Jacobi identities in low-dimensional topology	2004	James Conant Rob Schneiderman Peter Teichner
+	Jacobi identities in low-dimensional topology	2004	James Β. Conant Rob Schneiderman Peter Teichner
+	Whitney towers and the Kontsevich integral	2004	Rob Schneiderman Peter Teichner
+	Knot concordance and von Neumann $ρ$-invariants	2004	Tim D. Cochran Peter Teichner
+ PDF Chat	Grope cobordism and feynman diagrams	2003	James Conant Peter Teichner
+	Grope cobordism of classical knots	2003	James Conant Peter Teichner
+ PDF Chat	Knot concordance, Whitney towers and L<sup>2</sup>-signatures	2003	Tim D. Cochran Kent E. Orr Peter Teichner
+ PDF Chat	Flatness and the Ore condition for rings	2003	Peter Teichner
+	Knots, von Neumann signatures, and grope cobordism	2003	Peter Teichner
+	Grope Cobordism and Feynman Diagrams	2002	James Conant Peter Teichner
+	Structure in the classical knot concordance group	2002	Tim D. Cochran Kent E. Orr Peter Teichner
+	On Knots with trivial Alexander polynomial	2002	Stavros Garoufalidis Peter Teichner
+	Grope Cobordism and Feynman Diagrams	2002	James Β. Conant Peter Teichner
+	BETTI NUMBER ESTIMATES FOR NILPOTENT GROUPS	2001	Michael J. Freedman Richard Hain Peter Teichner
+	Grope cobordism of classical knots	2000	Jim Conant Peter Teichner
+ PDF Chat	Higher order intersection numbers of 2–spheres in 4–manifolds	2000	Rob Schneiderman Peter Teichner
+	Grope cobordism of classical knots	2000	Jim Conant Peter Teichner
+ PDF Chat	All two dimensional links are null homotopic	1999	Arthur Bartels Peter Teichner
+	Knot concordance, Whitney towers and L^2 signatures	1999	Tim D. Cochran Kent E. Orr Peter Teichner
+ PDF Chat	Alexander duality, gropes and link homotopy	1997	Vyacheslav Krushkal Peter Teichner
+	BETTI NUMBER ESTIMATES FOR NILPOTENT GROUPS	1997	Michael Freedman Richard Hain Peter Teichner
+	A non-extended hermitian form over ℤ[ℤ]	1997	Ian Hambleton Peter Teichner
+ PDF Chat	Maximal Nilpotent Quotients of $3$-Manifold Groups	1997	Peter Teichner
+	Stable Prime Decompositions of Four-Manifolds	1996	Matthias Kreck Wolfgang Lück Peter Teichner
+	Maximal Nilpotent Quotients of 3-Manifold Groups	1996	Peter Teichner
+	Maximal Nilpotent Quotients of 3-Manifold Groups	1996	Peter Teichner
+ PDF Chat	Counterexamples to the Kneser conjecture in dimension four	1995	Matthias Kreck Wolfgang Lück Peter Teichner
+	4-Manifold topology II: Dwyer's filtration and surgery kernels	1995	Michael Freedman Peter Teichner
+	4-Manifold topology I: Subexponential groups	1995	Michael Freedman Peter Teichner
+	6-Dimensional Manifolds without Totally Algebraic Homology	1995	Peter Teichner
+ PDF Chat	6-dimensional manifolds without totally algebraic homology	1995	Peter Teichner
+	Nonorientable 4-Manifolds with Fundamental Group of Order 2	1994	Ian Hambleton Matthias Kreck Peter Teichner
+ PDF Chat	Nonorientable $4$-manifolds with fundamental group of order $2$	1994	Ian Hambleton Matthias Kreck Peter Teichner
+ PDF Chat	Van Kampen’s embedding Obstruction is incomplete for $2$-Complexes in $\rz^{4}$	1994	Michael Freedman Vyacheslav Krushkal Peter Teichner
+	On the signature of four-manifolds with universal covering spin	1993	Peter Teichner
+	Topological four-manifolds with finite fundamental group	1992	Peter Teichner

Common Coauthors

Coauthor	Papers Together
Rob Schneiderman	31
James Conant	14
Mark Powell	14
Daniel Kasprowski	12
Stephan Stolz	10
Matthias Kreck	10
Tim D. Cochran	9
Ian Hambleton	7
Jim Conant	6
Stefan Friedl	6
Michael Freedman	5
James Β. Conant	4
Kent E. Orr	4
Danica Kosanović	4
Danica Kosanović	3
Min Hoon Kim	3
Arunima Ray	3
Paul Melvin	3
Henning Hohnhold	2
Vyacheslav Krushkal	2
Wolfgang Lück	2
Stavros Garoufalidis	2
Richard Hain	2
Allison N. Miller	1
Mahmoud Zeinalian	1
Stefan Behrens	1
Matthias Nagel	1
Alan W. Reid	1
Robert Schneiderman	1
Arthur Bartels	1
Markus Land	1
Robion Kirby	1
Michael J. Freedman	1
Owen Gwilliam	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The topology of four-dimensional manifolds	1982	Michael Freedman	24
+	The topology of 4-manifolds	1989	Robion Kirby	22
+ PDF Chat	Knot concordance, Whitney towers and L<sup>2</sup>-signatures	2003	Tim D. Cochran Kent E. Orr Peter Teichner	22
+ PDF Chat	Claspers and finite type invariants of links	2000	Kazuo Habiro	19
+ PDF Chat	Surgery on Compact Manifolds	1999	C. T. C. Wall	17
+ PDF Chat	Whitney tower concordance of classical links	2012	James Conant Rob Schneiderman Peter Teichner	16
+	Topology of 4-manifolds	1990	Michael Freedman Frank Quinn	16
+ PDF Chat	Higher order intersection numbers of 2–spheres in 4–manifolds	2000	Rob Schneiderman Peter Teichner	16
+	4-Manifold topology I: Subexponential groups	1995	Michael Freedman Peter Teichner	14
+ PDF Chat	Milnor invariants and twisted Whitney towers	2013	James Conant Rob Schneiderman Peter Teichner	13
+	Foundational Essays on Topological Manifolds, Smoothings, and Triangulations.	1977	Robion Kirby Laurence C. Siebenmann	12
+ PDF Chat	Higher-order intersections in low-dimensional topology	2011	Jim Conant Rob Schneiderman Peter Teichner	12
+	Grope cobordism of classical knots	2003	James Conant Peter Teichner	12
+	Homology and central series of groups	1965	John R. Stallings	11
+	Whitney towers and gropes in 4–manifolds	2005	Rob Schneiderman	11
+ PDF Chat	Whitney towers and the Kontsevich integral	2004	Rob Schneiderman Peter Teichner	11
+	The Kontsevich integral and Milnor’s invariants	2000	Nathan Habegger Gregor Masbaum	11
+ PDF Chat	Calculus of clovers and finite type invariants of 3–manifolds	2001	Stavros Garoufalidis Mikhail Goussarov Michael Polyak	11
+	Derivatives of links: Milnor’s concordance invariants and Massey’s products	1990	Tim D. Cochran	10
+ PDF Chat	Whitney’s trick for three $2$-dimensional homology classes of $4$-manifolds	1979	Masayuki Yamasaki	9
+	A Certain Exact Sequence	1950	J. H. C. Whitehead	8
+	The Self-Intersections of a Smooth n-Manifold in 2n-Space	1944	Hassler Whitney	8
+	Surgery and Duality	1999	Matthias Kreck	8
+	4-Manifold topology II: Dwyer's filtration and surgery kernels	1995	Michael Freedman Peter Teichner	8
+ PDF Chat	Subexponential groups in 4–manifold topology	2000	Vyacheslav Krushkal Frank Quinn	8
+	On the classification of topological 4-manifolds with finite fundamental group	1988	Ian Hambleton Matthias Kreck	8
+ PDF Chat	Addendum and correction to: “Homology cylinders: an enlargement of the mapping class group”	2002	Jerome Levine	8
+ PDF Chat	Grope cobordism and feynman diagrams	2003	James Conant Peter Teichner	8
+ PDF Chat	Simple Whitney towers, half-gropes and the Arf invariant of a knot	2005	Rob Schneiderman	8
+	Knot concordance, Whitney towers and L^2 signatures	1999	Tim D. Cochran Kent E. Orr Peter Teichner	7
+	Link Groups	1954	John Milnor	7
+ PDF Chat	Jacobi identities in low-dimensional topology	2007	James Conant Rob Schneiderman Peter Teichner	7
+ PDF Chat	Structure in the classical knot concordance group	2004	Tim D. Cochran Kent E. Orr Peter Teichner	7
+ PDF Chat	Labeled binary planar trees and quasi-Lie algebras	2006	Jerome Levine	7
+ PDF Chat	Bounds on the von Neumann dimension of $L\sp 2$-cohomology and the Gauss-Bonnet theorem for open manifolds	1985	Jeff Cheeger Mikhael Gromov	7
+ PDF Chat	Homology surgery and invariants of 3–manifolds	2001	Stavros Garoufalidis Jerome Levine	7
+	Princeton Mathematical Series	1948		6
+ PDF Chat	Existence of 𝜋₁-negligible embeddings in 4-manifolds. A correction to Theorem 10.5 of Freedmann and Quinn	1994	Richard Stong	6
+ PDF Chat	An application of gauge theory to four-dimensional topology	1983	Simon Donaldson	6
+ PDF Chat	On the Vassiliev knot invariants	1995	Dror Bar-Natan	6
+	Homology, massey products and maps between groups	1975	W. G. Dwyer	6
+ PDF Chat	New topologically slice knots	2005	Stefan Friedl Peter Teichner	6
+ PDF Chat	On Knots with trivial Alexander polynomial	2004	Stavros Garoufalidis Peter Teichner	6
+ PDF Chat	Alexander duality, gropes and link homotopy	1997	Vyacheslav Krushkal Peter Teichner	6
+ PDF Chat	Noncommutative knot theory	2004	Tim D. Cochran	6
+	Knot cobordism groups in codimension two	1969	Jerome Levine	6
+ PDF Chat	Universal quadratic forms and Whitney tower intersection invariants	2012	James Conant Rob Schneiderman Peter Teichner	6
+ PDF Chat	TOPOLOGICAL 4-MANIFOLDS WITH GEOMETRICALLY TWO-DIMENSIONAL FUNDAMENTAL GROUPS	2009	Ian Hambleton Matthias Kreck Peter Teichner	6
+	The 4-dimensional light bulb theorem	2019	David Gabai	5
+	Finite type invariants and n-equivalence of 3-manifolds	1999	Mikhail Goussarov	5