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math.GT2024
Hecke categories, idempotents, and commuting stacks
Eugene Gorsky, Andrei Neguţ
We formulate a connection between a topological and a geometric category. The former is the idempotent completion of the (horizontal) trace of the affine Hecke category, while the…
math.GT2022
The Trace of the affine Hecke category
Eugene Gorsky, Andrei Neguţ
We compare the (horizontal) trace of the affine Hecke category with the elliptic Hall algebra, thus obtaining an "affine" version of the construction of [14]. Explicitly, we show t…