Professor Emeritus

Research Primary Research Area:
Geometry/Topology

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

http://people.mpim-bonn.mpg.de/teichner/Math/Home.html


Publications Selected Publications:
StephanStolz and PeterTeichner (Survey)Supersymmetric field theories and generalizedcohomology.Mathematical Foundations of QuantumField Theory and Perturbative String Theory, Proceedings of Symposia in Pure Mathematics, Vol. 83, A.M.S.2011,279-340. [MR]
StephanStolz andPeterTeichner.Traces in monoidal categories.Transactions of the A.M.S. 364 2012, 4425-4464.
HenningHohnhold,StephanStolz andPeterTeichner.From minimal geodesics to supersymmetric field theories,in memory of Raoul Bott.CRM Proceedings and Lecture Notes, Volume 50 2010, 207-273.
MatthiasKreck and Peter Teichner.Positivity of topological field theories in dimension at least 5.J. of Topology12008, 663-670.
Stephan Stolz and Peter Teichner (Survey)What is an ellipticobject?Topology, geometry and quantum field theory, London Math. Soc. LNS 308, Cambridge Univ. Press 2004, 247-343.
JamesConant, Rob Schneiderman and Peter Teichner (Survey)Higher order intersections in low-dimensional topology.Proceedings of the National Academy 1082011, 8131-8138.
JamesConant, Rob Schneiderman andPeter 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
MichaelFreedman and Peter Teichner.4-manifold topology I+II.Inventiones Mathematicae122 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.
StefanFriedl and Peter Teichner.New topologically slice knots.Geometry and Topology 92009, 2129-2158.
TimCochran and Peter Teichner. Knot concordance and von Neumann ρ-invariants. Duke Math. J. 1372007, 337-379. [MR]
Stavros Garoufalidis and Peter Teichner.On knots with trivial Alexander polynomial.Journal of Differential Geometry67 2004, 763-789.
TimCochran, Kent Orr andPeter Teichner.Knot concordance, Whitney towers and L2signatures.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 Topology3 1999, 235-252.
Slava Krushkal and Peter Teichner.Alexander duality, gropes and link homotopy.Geometry and Topology1 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 Helvetici70 1995, 423-433.