57 citations · 146 across the 19 of their papers we have counts for
6 papers · 1 filter
The center of monoidal 2-categories in 3+1D Dijkgraaf-Witten Theory
Liang Kong, Yin Tian, Shan Zhou
In this work, for a finite group and a 4-cocycle , we compute explicitly the center of the monoidal 2-category of -…
Towards functor exponentiation
Mikhail Khovanov, Yin Tian
We consider a possible framework to categorify the exponential map exp(-f) given the categorification of a generator f of by Lauda. In this setup the Taylor expansion…
Towards a categorical boson-fermion correspondence
Yin Tian
We construct the Heisenberg counterpart of a Clifford categorification. It is a modification of Khovanov's Heisenberg categorification. We express generators of the Heisenberg cate…
How to categorify the ring of integers localized at two
Mikhail Khovanov, Yin Tian
We construct a triangulated monoidal Karoubi closed category with the Grothendieck ring, naturally isomorphic to the ring of integers localized at two.
A categorification of U_T sl(1,1) and its tensor product representations
Yin Tian
We define the Hopf superalgebra U_T sl(1,1), which is a variant of the quantum supergroup U_q sl(1,1), and its tensor product representations V_1^{\otimes n} for n>0. We construct…
A categorification of U_q sl(1,1) as an algebra
Yin Tian
We construct families of differential graded algebras R and R \boxtimes R and give an algebraic formulation of the contact category of a disk through the differential graded catego…