35 citations · 206 across the 26 of their papers we have counts for
12 papers · 1 filter
A braid group action on an -category for zigzag algebras
Benjamin Cooper, You Qi, Joshua Sussan
We construct differential graded enhancements of the zigzag algebras which were used by Khovanov, Seidel and Thomas to produce categorical braid group actions. These enhancements a…
A categorification of the colored Jones polynomial at a root of unity
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
There is a -differential on the triply-graded Khovanov--Rozansky homology of knots and links over a field of positive characteristic that gives rise to an invariant in the h…
A braid group action on a -DG homotopy category
You Qi, Joshua Sussan, Yasuyoshi Yonezawa
We construct a braid group action on a homotopy category of -DG modules of a deformed Webster algebra.
Evaluating thin flat surfaces
Mikhail Khovanov, You Qi, Lev Rozansky
We consider recognizable evaluations for a suitable category of oriented two-dimensional cobordisms with corners between finite unions of intervals. We call such cobordisms thin fl…
On some -differential graded link homologies
You Qi, Joshua Sussan
We show that the triply graded Khovanov-Rozansky homology of knots and links over a field of positive odd characteristic descends to an invariant in the homotopy category finit…
Remarks on the derived center of small quantum groups
Anna Lachowska, You Qi
Let be the small quantum group associated with a complex semisimple Lie algebra and a primitive root of unity q, satisfying certain rest…
A categorification of cyclotomic rings
Robert Laugwitz, You Qi
For any natural number , we construct a triangulated monoidal category whose Grothendieck ring is isomorphic to the ring of cyclotomic integers .
Categorification at prime roots of unity and hopfological finiteness
You Qi, Joshua Sussan
We survey some recent results in hopfological algebra and the program of categorification at prime roots of unity. A categorical Jones-Wenzl projector at prime roots of unity is st…
The differential graded odd nilHecke algebra
Alexander P. Ellis, You Qi
We equip the odd nilHecke algebra and its associated thick calculus category with digrammatically local differentials. The resulting differential graded Grothendieck groups are iso…
A Categorification of the Burau representation at prime roots of unity
You Qi, Joshua Sussan
We construct a p-DG structure on an algebra Koszul dual to a zigzag algebra used by Khovanov and Seidel to construct a categorical braid group action. We show there is a braid grou…
An approach to categorification of some small quantum groups II
Ben Elias, You Qi
We categorify an idempotented form of quantum sl2 and some of its simple representations at a prime root of unity.
An approach to categorification of some small quantum groups
Mikhail Khovanov, You Qi
We categorify one half of the small quantum sl(2) at a prime root of unity. An extension of this construction to an arbitrary simply-laced case is proposed.