35 citations · 206 across the 26 of their papers we have counts for
26 papers
Symmetries of equivariant Khovanov-Rozansky homology
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We construct an -action on equivariant -link homologies. As a consequence we obtain an action of on these homologies as well as…
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…
Symmetries of -foams
You Qi, Louis-Hadrien Robert, Joshua Sussan +1
We give an action of a Lie subalgebra of the Witt algebra on foams. This action is compatible with the -foam evaluation formula. In particular, this endows states…
A Rickard equivalence for hopfological homotopy categories
You Qi
In his paper [Ric89], Rickard presents the stable module category of a self-injective algebra as a Verdier quotient of its derived category by perfect complexes. We present a simil…
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…
Actions of sl_2 on algebras appearing in categorification
Ben Elias, You Qi
We prove that many of the recently-constructed algebras and categories which appear in categorification can be equipped with an action of by derivations. The $\ma…
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…
Categorifying Hecke algebras at prime roots of unity, part I
Ben Elias, You Qi
We equip the type diagrammatic Hecke category with a special derivation, so that after specialization to characteristic it becomes a -dg category. We prove that the defi…
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 faithful braid group action on the stable category of tricomplexes
Mikhail Khovanov, You Qi
Bicomplexes of vector spaces frequently appear throughout algebra and geometry. In Section 2 we explain how to think about the arrows in the spectral sequence of a bicomplex via it…
p-DG cyclotomic nilHecke algebras II
You Qi, Joshua Sussan
We categorify tensor products of the fundamental representation of quantum at prime roots of unity building upon earlier work where a tensor product of two Weyl m…
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 .
Morphism spaces in stable categories of Frobenius algebras
You Qi
We present an explicit formula computing morphism spaces in the stable category of a Frobenius algebra.
p-DG cyclotomic nilHecke algebras
Mikhail Khovanov, You Qi, Joshua Sussan
We categorify a tensor product of two Weyl modules for quantum sl(2) at a prime root of unity.
The center of the small quantum group II: singular blocks
Anna Lachowska, You Qi
We generalize to the case of singular blocks the result in \cite{BeLa} that describes the center of the principal block of a small quantum group in terms of sheaf cohomology over t…
A categorification of a quantum Frobenius map
You Qi
A quantum Frobenius map a la Lusztig for is categorified at a prime root of unity.
The center of small quantum groups I: the principal block in type A
Anna Lachowska, You Qi
We develop an elementary algebraic method to compute the center of the principal block of a small quantum group associated with a complex semisimple Lie algebra at a root of unity.…
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 quantum sl(2) at prime roots of unity
Ben Elias, You Qi
We categorify the Beilinson-Lusztig-MacPherson integral form of quantum sl(2) specialized at a prime root of unity.
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.