Slava Krushkal: Publications

Graphs, links, and duality on surfaces

Robust 4-manifolds and robust embeddings

(with Paul Fendley) Link invariants, the chromatic polynomial and the Potts model, to appear in Advances in Theoretical and Mathematical Physics.

Link groups of 4-manifolds

(with Paul Fendley) Tutte chromatic identities from the Temperley-Lieb algebra, Geom. Topol. 13(2009), 709-741.

A counterexample to the strong version of Freedman’s conjecture, Ann. of Math. 168 (2008), 675-693.

Link groups and the A-B slice problem, Topology and Physics, Proceedings of the International conference

in memory of X.-S. Lin, World Sci. Publ. 2008, 203-218.

(with Michael Freedman) On the asymptotics of quantum SU(2) representations of mapping class groups, Forum Math. 18 (2006), 293-304.

Surgery and involutions on 4-manifolds, Algebr. Geom. Topol. 5 (2005), 1719-1732.

Surfaces in 4-manifolds and the surgery conjecture, Proceedings of the Fields Institute/McMaster Conference on Geometry and Topology of Manifolds. AMS, 2005.

Dwyer's filtration and topology of 4-manifolds, Math. Res. Lett. 10 (2003), 247-251.

On disk embedding up to s-cobordism, arXiv:math.GT/0209273.

(with Ronnie Lee) Surgery on closed 4-manifolds with free fundamental group, Math. Proc. Cambridge Philos. Soc. 133 (2002), 305--310.

Exponential separation in 4-manifolds, Geom. Topol. 4 (2000), 397-405.

(with Frank Quinn)   Subexponential groups in 4-manifold topology, Geom. Topol. 4 (2000), 407-430.

Embedding obstructions and 4-dimensional thickenings of 2-complexes, Proc. Amer. Math. Soc. 128 (2000), 3683-3691.

On the Relative Slice Problem and Four Dimensional Topological Surgery, Math. Ann. 315 (1999), 363-396.

Additivity properties of Milnor's m-invariants, J. Knot Theory Ramifications 7 (1998), 625-637.

(with Peter Teichner)   Alexander duality, gropes and link homotopy, Geom. Topol. 1 (1997), 51-69.

(with Michael Freedman)   Notes on ends of hyperbolic 3-manifolds, Proceedings of the 13th Annual Workshop in Geometric Topology (1996), 1-15.

(with Michael Freedman and Peter Teichner)   Van Kampen's embedding obstruction is incomplete for 2-complexes in R⁴ , Math. Res. Lett. 1 (1994), 167-176.

Research was partially supported by the NSF.