Peter Teichner

Professor Emeritus
Primary Research Area: 
Research Interests: 
Geometric topology, 4-manifolds, elliptic cohomology
Contact Information
703 Evans Hall, and Max Planck Institute for Mathematics, Bonn, Germany
teichner [at] mac [dot] com
Selected Publications: 

Stephan Stolz and Peter Teichner (Survey) Supersymmetric field theories and generalized cohomology. Mathematical Foundations of Quantum Field Theory and Perturbative String Theory, Proceedings of Symposia in Pure Mathematics, Vol. 83, A.M.S. 2011, 279-340. [MR]

Stephan Stolz and Peter Teichner. Traces in monoidal categories. Transactions of the A.M.S. 364 2012, 4425-4464.

Henning Hohnhold, Stephan Stolz and Peter Teichner. From minimal geodesics to supersymmetric field theories, in memory of Raoul Bott. CRM Proceedings and Lecture Notes, Volume 50 2010, 207-273.

Matthias Kreck and Peter Teichner. Positivity of topological field theories in dimension at least 5J. of Topology 1 2008, 663-670.

Stephan Stolz and Peter Teichner (Survey) What is an elliptic object? Topology, geometry and quantum field theory, London Math. Soc. LNS 308, Cambridge Univ. Press 2004, 247-343.


James Conant, Rob Schneiderman and Peter Teichner (Survey) Higher order intersections in low-dimensional topology. Proceedings of the National Academy 108 2011, 8131-8138. 

James Conant, Rob Schneiderman and Peter Teichner. Whitney tower concordance of classical links. Geometry & Topology 16 2012, 1419-1479.


Rob Kirby, Paul Melvin and Peter Teichner. Cohomotopy sets of 4-manifolds. Proceedings of the Freedman Fest, Geometry & Topology Monographs, Volume 18 2012, 161-190.

Ian Hambleton, Matthias Kreck and Peter Teichner. Topological 4-manifolds with geometrically 2-dim. fundamental groups. Journal of Topology and Analysis 1 2009, 123-151 

Michael Freedman and Peter Teichner. 4-manifold topology I+II. Inventiones Mathematicae 122 1995, 509-557.


Peter Teichner (Survey) Knots, von Neumann algebras and grope cobordism. Proceedings of the International Congress of Mathematics 2002, Vol II: Invited Lectures, 437-446.

Stefan Friedl and Peter Teichner. New topologically slice knotsGeometry and Topology 9 2009, 2129-2158.

Tim Cochran and Peter Teichner. Knot concordance and von Neumann ρ-invariants. Duke Math. J. 137 2007, 337-379. [MR]

Stavros Garoufalidis and Peter Teichner. On knots with trivial Alexander polynomial. Journal of Differential Geometry 67 2004, 763-789.

Tim Cochran, Kent Orr and Peter Teichner. Knot concordance, Whitney towers and L2 signatures. Annals of Math. 157 2003, 433-519.


Peter Teichner (Survey) What is ... a grope? Notices of the A.M.S. 51 2004, 892-893.

Arthur Bartels and Peter Teichner. All 2-dimensional links are null homotopic. Geometry and Topology 3 1999, 235-252.

Slava Krushkal and Peter Teichner. Alexander duality, gropes and link homotopy. Geometry and Topology 1 1997, 57-69.

Michael Freedman, Richard Hain and Peter Teichner. Betti number estimates for nilpotent groups. Fields Medallists' Lectures, edited by M. Atiyah and D. Lagolnitzer, World Sci. Ser. in 20th Century Math. 5 1997, 413-434. 

Matthias Kreck, Wolfgang Lück and Peter Teichner. Counter examples to the Kneser conjecture in dimension four. Commentarii Mathematici Helvetici 70 1995, 423-433.