37 citations · 107 across the 14 of their papers we have counts for
4 papers · 1 filter
An invariant of tangle cobordisms via subquotients of arc rings
Yanfeng Chen, Mikhail Khovanov
We construct an explicit categorification of the action of tangles on tensor powers of the fundamental representation of quantum sl(2).
Braid cobordisms, triangulated categories, and flag varieties
Mikhail Khovanov, Richard Thomas
We argue that various braid group actions on triangulated categories should be extended to projective actions of the category of braid cobordisms and illustrate how this works in e…
A categorification of integral Specht modules
Mikhail Khovanov, Volodymyr Mazorchuk, Catharina Stroppel
We suggest a simple definition for categorification of modules over rings and illustrate it by categorifying integral Specht modules over the symmetric group and its Hecke algebra…
Link homology and categorification
Mikhail Khovanov
This is a short survey of algebro-combinatorial link homology theories which have the Jones polynomial and other link polynomials as their Euler characteristics.