Surveys and Preprints

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** Tree homology and a conjecture of Levine. **

with Jim Conant and Rob Schneiderman, to appear in Geometry & Topology 2012.

** Traces in monoidal categories.
**

with Stephan Stolz, to appear in the Transactions of the A.M.S. 2012

** Higher order intersections in low-dimensional topology. **

with Jim Conant and Rob Schneiderman, Proceedings of the National Academy 2011, 108 (20) 8131-8138.

** Supersymmetric field theories and generalized cohomology.
**

with Stephan Stolz, Mathematical Foundations of Quantum Field Theory and Perturbative String Theory, Proceedings of Symposia in Pure Mathematics, Vol. 83, A.M.S. 2011, 279-340.

** Differential forms and 0-dimensional super symmetric field theories
**

with Henning Hohnhold, Matthias Kreck and Stephan Stolz, Quantum Topol. 2 (2011), 1-41.

** Super manifolds - a short and incomplete survey.
**

with Henning Hohnhold and Stephan Stolz, Bulletin of the Manifold Atlas 2011.

** From minimal geodesics to super symmetric field theories, in memory of Raoul Bott.
**

with Henning Hohnhold and Stephan Stolz, CRM Proceedings and Lecture Notes, Volume 50, 2010, 207-273.

** Topological 4-manifolds with geometrically 2-dimensional fundamental groups.
**

with Ian Hambleton and Matthias Kreck, Journal of Topology and Analysis, vol. 1 (2) 2009, 123-151

** New constructions of slice links.
**

with Tim Cochran and Stefan Friedl, Commentarii Mathematici Helvetici, vol. 84 (3) 2009, 617-638

** Positive topological field theories and manifolds of dimension > 4.
**

with Matthias Kreck, Journal of Topology, Volume 1 (2008), 663-670.

** Knot concordance and von Neumann rho-invariants.
**

with Tim Cochran, Duke Mathematical Journal, Volume 137, Number 2 (2007), 337--379.

** Jacobi identities in low-dimensional topology. **

with Jim Conant and Rob Schneiderman, Compositio Math. 143 (2007) 780-810.

** Non-smoothable four-manifolds with infinite cyclic fundamental group.
**

with Stefan Friedl, Ian Hambleton and Paul Melvin, International Mathematics Research Notices, Vol. 2007, Article ID rnm031, 20 pages.

** Geometric topology and connections with quantum field theory.**

Abstracts from the workshop held June 12--18, 2005. Organized by Stephan Stolz and Peter Teichner. * Oberwolfach Reports. Vol. 2, no. 2 (2005), 1505-1546. *

** What is an elliptic object? **

with Stephan Stolz, *
Topology, geometry and quantum field theory, London Math. Soc. LNS 308, Cambridge Univ. Press 2004, 247-343.*

** Generalized cohomology and super symmetric field theories, Part 1, ** Peter Teichner

** Generalized cohomology and super symmetric field theories, Part 2,** Stephan Stolz

Survey talks given at the Kavli Institute for Theoretical Physics * Mathematical Structures in String Theory (Aug 1 - Dec 16, 2005) *

** New topologically slice knots.
**

with Stefan Friedl, * Geometry and Topology,* Vol.9 (2005), 2129-2158. - Correction to an example in the paper

** On knots with trivial Alexander polynomial. **

with Stavros Garoufalidis, *
Journal of Differential Geometry * 67 (2004), 763-789.

** What is ... a grope? **

* Notices of the A.M.S. * 51 (8) (2004), 892-893.

** Whitney towers and the Kontsevich integral. **

with Rob Schneiderman, Geometry and Topology Monogr. 7 (2004), 101-134.

** 3 Lectures on Whitney towers, Milnor invariants and concordance theory **

* 21st Annual Workshop in Geometric Topology, * Univ. of Wisconsin-Milwaukee, June 10-12, 2004.

** Grope cobordism of classical knots. **

with Jim Conant, *
Topology, * 43 (2004), 119-156.

** Structure in the classical knot concordance group.
**

with Tim Cochran and Kent Orr, *
Comment. Math. Helv. , * 79 (2004), 105-123.

** Grope cobordism and Feynman diagrams. **

with Jim Conant, *
Math. Annalen, * 328 (2004), 135-171.

** Knot concordance,
Whitney towers and von Neumann signatures.
**

with Tim Cochran and Kent Orr, *
Annals of Math., * 157 (2003), 433-519.

** Flatness and the Ore condition for rings. **

* Proceedings of the AMS, * 131 (2003), 1977-1980.

** Knots, von Neumann signatures, and grope cobordism. **
Lecture given at the ICM 2002 in Beijing,

*
Proceedings of the International Congress of Math., *
Vol II: Invited Lectures, 437-446.

**Higher order intersection numbers of 2-spheres in 4-manifolds. **

with Rob Schneiderman, * Algebraic & Geometric Topology,* 1 (2000), 1-29.

** All 2-dimensional links are null homotopic. **

with Arthur Bartels, *Geometry and Topology,* 3 (1999), 235-252.

** Symmetric surgery and boundary link maps. ***Mathematische Annalen,* 312 (1998), 717-735.

** Maximal nilpotent quotients of 3-manifold groups. ***Mathematical Research Letters* 4 (1997), 283-293.

** Betti number estimates for nilpotent groups. **

with Michael Freedman and Richard Hain, *Fields Medallists' Lectures,* edited by M. Atiyah and D. Lagolnitzer,
World Sci. Ser. in 20th Century Math. 5 (1997), 413-434.

** A non-extended hermitian form
over the group ring of the integers. **

with Ian Hambleton, *Manuscripta Mathematica* 94 (1997), 435-442.

** Alexander duality, gropes and
link homotopy. **

with Slava Krushkal,*Geometry and Topology,* 1 (1997), 57-69.

** 4-manifold topology I. **

with Michael Freedman,
*Inventiones Mathematicae* 122 (3) (1995), 509-529.

** Appendix to 4-manifold topology I: clarification of linear grope height raising. **

with Michael Freedman,
Preprint 1995.

** 4-manifold topology II. **

with Michael Freedman,
*Inventiones Mathematicae* 122 (3) (1995), 531-557.

** Counter examples to the Kneser conjecture in dimension four. **

with Matthias Kreck and Wolfgang Lueck, *Commentarii Mathematici Helvetici* 70 (1995),
423-433.

** Stable prime decompositions of 4-manifolds. **

with Matthias Kreck and Wolfgang Lueck, *Commentarii Prospects in topology * (Princeton, NJ, 1994), 251-269, Ann. of Math. Stud., 138, Princeton Univ. Press, Princeton, NJ, 1995.

** Van Kampen's
embedding obstruction is incomplete for 2-complexes in 4-space. **

with Slava Krushkal and Michael Freedman, *Mathematical
Research Letters* 1 (1994), 167-176.

** 6-Dimensional manifolds without totally algebraic homology. **

*Proceedings of the A.M.S.* 123 (9) (1995), 2909-2914.

** Nonorientable 4-manifolds with fundamental group of order 2. **

with Ian Hambleton and Matthias Kreck, *Transactions of the A.M.S.* 344 (2) (1994), 649-665.

** On the star-construction for topological 4-manifolds. **

*Proc. of the Georgia International Topology
Conference* 1993. Geom. top. AMS/IP Stud. Adv. Math. 2 300-312 A.M.S. (1997)

** On the signature of 4-manifolds with universal covering spin. **

* Mathematische Annalen * 295 (1993), no. 4, 745-759.

** Topological 4-manifolds with finite fundamental group. **

PhD Thesis, University of Mainz, Germany, Shaker Verlag 1992, ISBN 3-86111-182-9.

A short and incomplete survey from 1992.

** All oriented 4-manifolds have spin-c structures.**

with Elmar Vogt,
Preprint 1994.