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math.GT2021
Link splitting deformation of colored Khovanov--Rozansky homology
Matthew Hogancamp, David E. V. Rose, Paul Wedrich
We introduce a multi-parameter deformation of the triply-graded Khovanov--Rozansky homology of links colored by one-column Young diagrams, generalizing the "-ified" link homolog…
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.RT2021★ 1 cited
Type Webs
Elijah Bodish, Ben Elias, David E. V. Rose +1
We define a -linear pivotal category and prove that it is equivalent to the full subcategory of finite-dimensional representations…