26 citations · 157 across the 26 of their papers we have counts for
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Homological perturbation theory with curvature
Matthew Hogancamp
We prove a general version of the homological perturbation lemma which works in the presence of curvature, and without the restriction to strong deformation retracts, building on w…
Torus link homology
Matthew Hogancamp, Anton Mellit
We compute the triply graded Khovanov-Rozansky homology of a family of links, including positive torus links and -colored torus knots.
On the functoriality of sl(2) tangle homology
Anna Beliakova, Matthew Hogancamp, Krzysztof Karol Putyra +1
We construct an explicit equivalence between the (bi)category of gl(2) webs and foams and the Bar-Natan (bi)category of Temperley-Lieb diagrams and cobordisms. With this equivalenc…
Ext-enhanced monoidal Koszul duality for
Matthew Hogancamp, Shotaro Makisumi
The Hecke category participates in an equivalence called monoidal Koszul duality, which exchanges it with the category of (Langlands-dual) "free-monodromic tilting sheaves." Motiva…
Serre duality for Khovanov-Rozansky homology
Eugene Gorsky, Matthew Hogancamp, Anton Mellit +1
We prove that the full twist is a Serre functor in the homotopy category of type A Soergel bimodules. As a consequence, we relate the top and bottom Hochschild degrees in Khovanov-…