608 citations · 2.2k across the 71 of their papers we have counts for
79 papers
Even and odd minimal categorifications of the nilpotent part of classical and quantum sl(2)
Mikhail Khovanov, Alvaro L. Martinez, Fan Zhou
We write down generators and relations for a minimalist version of the nilHecke category which allows us to categorify the divided powers of a generating functor. We then classify…
Foam cobordism and the Sah-Arnoux-Fathi invariant
Mee Seong Im, Mikhail Khovanov
This is the first in a series of papers where scissor congruence and K-theoretical invariants are related to cobordism groups of foams in various dimensions. A model example is pro…
Boolean TQFTs with accumulating defects, sofic systems, and automata for infinite words
Paul Gustafson, Mee Seong Im, Mikhail Khovanov
Any finite state automaton gives rise to a Boolean one-dimensional TQFT with defects and inner endpoints of cobordisms. This paper extends the correspondence to Boolean TQFTs where…
From finite state automata to tangle cobordisms: a TQFT journey from one to four dimensions
Mee Seong Im, Mikhail Khovanov
This is a brief introduction to link homology theories that categorify Reshetikhin--Turaev -quantum link invariants. A recently discovered surprising connection bet…
A topological theory of unoriented SL(4) foams
Mikhail Khovanov, Jozef H. Przytycki, Louis-Hadrien Robert +1
Unoriented SL(3) foams are two-dimensional CW complexes with generic singularities embedded in 3- and 4-manifolds. They naturally come up in the Kronheimer-Mrowka SO(3) gauge theor…
Universal construction in monoidal and non-monoidal settings, the Brauer envelope, and pseudocharacters
Mee Seong Im, Mikhail Khovanov, Victor Ostrik
This paper clarifies basic definitions in the universal construction of topological theories and monoidal categories. The definition of the universal construction is given for vari…