An inequality for the rank of a web and webs of maximum rank
An Inequality of Chern Numbers for Open Algebraic Varieties.
An infinitary version of Sperner's Lemma
We prove an extension of the well-known combinatorial-topological lemma of E. Sperner to the case of infinite-dimensional cubes. It is obtained as a corollary to an infinitary extension of the Lebesgue Covering Dimension Theorem.
An infinite family of tight, not semi-fillable contact three-manifolds.
An infinite torus braid yields a categorified Jones-Wenzl projector
A sequence of Temperley-Lieb algebra elements corresponding to torus braids with growing twisting numbers converges to the Jones-Wenzl projector. We show that a sequence of categorification complexes of these braids also has a limit which may serve as a categorification of the Jones-Wenzl projector.
An infinite-dimensional torsion-free FP...group.
An integral formula for cocycles of Lie groups
An interesting plane dendroid
An introduction to gerbes on orbifolds
This paper is a gentle introduction to some recent results involving the theory of gerbes over orbifolds for topologists, geometers and physicists. We introduce gerbes on manifolds, orbifolds, the Dixmier-Douady class, Beilinson-Deligne orbifold cohomology, Cheeger-Simons orbifold cohomology and string connections.
An introduction to shape theory for the nonspecialist
An introduction to spherical orbit spaces.
An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
These notes accompany some lectures given at the autumn school “Tresses in Pau” in October 2009. The abelian Reidemeister torsion for -manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.
An invariant of link cobordisms from Khovanov homology.
An invariant of smooth 4-manifolds.
An invariant of tangle cobordisms via subquotients of arc rings
We construct an explicit categorification of the action of tangles on tensor powers of the fundamental representation of quantum sl(2).
An irreducible Heegaard diagram of the real projective 3-space .
An isomorphical classification of function spaces of zero-dimensional locally compact separable metric spaces
An isomorphism form intersection homology to Lp-cohomology.
An obstruction for smoothing of Gorenstein surface singularities.
An obstruction to sliceness via contact geometry and "classical" gauge theory.