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math.AT2024
Symmetries of the cyclic nerve
David Ayala, Aaron Mazel-Gee, Nick Rozenblyum
We undertake a systematic study of the Hochschild homology, i.e. (the geometric realization of) the cyclic nerve, of -categories (and more generally of category-objects…
math.QA2024
A braided monoidal -category of Soergel bimodules
Yu Leon Liu, Aaron Mazel-Gee, David Reutter +2
The Hecke algebras for all symmetric groups taken together form a braided monoidal category that controls all quantum link invariants of type A and, by extension, the standard cano…