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math.QA2021
A skein relation for singular Soergel bimodules
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We study the skein relation that governs the HOMFLYPT invariant of links colored by one-column Young diagrams. Our main result is a categorification of this colored skein relation.…
math.QA2020★ 2 cited
On webs in quantum type
David E. V. Rose, Logan Tatham
We study webs in quantum type , focusing on the rank three case. We define a linear pivotal category diagrammatically by generators and relations…
math.QA2015
Sutured annular Khovanov-Rozansky homology
Hoel Queffelec, David E. V. Rose
We introduce an sl(n) homology theory for knots and links in the thickened annulus. To do so, we first give a fresh perspective on sutured annular Khovanov homology, showing that i…