In this paper, we recall the construction from Mackaay–Pan–Tubbenhauer of the algebras
Kϵ which allow to understand the sl3 homology for links in a local way (ie for tangles). Then …

Let $\Delta $ be a trivial knot in the three-sphere. For every finite cyclic group $ G $ of odd
order, we construct a $ G $-equivariant Khovanov homology with coefficients in the filed $\F …

We consider contact elements in the sutured Floer homology of solid tori with longitudinal
sutures, as part of the (1+ 1)–dimensional topological quantum field theory defined by …

Khovanov homology is a powerful link invariant: a categorification of the Jones polynomial
that enjoys a rich and beautiful algebraic structure. This homology theory has been …

Knots and diagrams Page 134 Lectures at Knots 96 edited by Shin'ichi Suzuki @ 1997 World
Scientific Publishing Co. pp. 123–194 KNOTS AND DIAGRAMS LOUIS H. KAUFFMAN …

Knotoids were introduced by V. Turaev as open-ended knot-type diagrams that generalize
knots. Turaev defined a two-variable polynomial invariant of knotoids which encompasses a …

These five lectures—written for a summer school in 2006—provide an introduction to
Khovanov homology covering the basic definitions, important properties, a number of …

We modify the definition of spherical knotoids to include a framing, in analogy to framed
knots, and define a further modification that includes a secondary 'coframing'to obtain …

We relate decategorifications of Ozsváth–Szabó's new bordered theory for knot Floer
homology to representations of Uq. gl. 1j1//. Specifically, we consider two subalgebras Cr. n; …

This article is an introduction to relationships between knot theory and theoretical physics.
We give an exposition of the theory of polynomial invariants of knots and links, the Witten …