A model for the universal space for proper actions of a hyperbolic group.
A natural framing of knots.
A natural series for the natural logarithm.
A new algorithm for recognizing the unknot.
A new criterion for knots with free periods
A new invariant on hyperbolic Dehn surgery space.
A New Knot Invariant.
A new proof of Markov's braid theorem
The purpose of this paper is to introduce a new proof of Markov's braid theorem, in terms of Seifert circles and Reidemeister moves. This means that the proof will be of combinatorial and essentially 2-dimensional nature. One characteristic feature of our approach is that nowhere in the proof will we use or refer to the braid axis. This allows for greater flexibility in various transformations of the diagrams considered. Other proofs of Markov's theorem can be found in [2], [3], [4] and [5].
A new technique for the link slice problem.
A non-abelian Seiberg-Witten invariant for integral homology 3-spheres.
A non-𝒵-compactifiable polyhedron whose product with the Hilbert cube is 𝒵-compactifiable
We construct a locally compact 2-dimensional polyhedron X which does not admit a 𝒵-compactification, but which becomes 𝒵-compactifiable upon crossing with the Hilbert cube. This answers a long-standing question posed by Chapman and Siebenmann in 1976 and repeated in the 1976, 1979 and 1990 versions of Open Problems in Infinite-Dimensional Topology. Our solution corrects an error in the 1990 problem list.
A norm for the cohomology of 2-complexes.
A Note on 2-fold Branched Covering Spaces of S3.
A note on a 3-dimensional homogeneous space
A note on a multi-variable polynomial link invariant
A note on a recursive formula of the Arf-Kervaire invariant.
A Note on Hyperbolic 3-Manifolds of the Same Volume.
A note on irreducible Heegaard diagrams.
A Note on Link Complements and Arithmetic Groups.
A note on pseudo-Anosov maps with small growth rate.