The Large Affine Hecke Category is Calabi-Yau

Fuente: arXiv
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Main Author: Okitani, Yuji
Format: Preprint
Published: 2026
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author Okitani, Yuji
author_facet Okitani, Yuji
contents We show that the large affine Hecke category defines an oriented, fully extended topological field theory. More generally, we establish conditions under which ind-coherent convolution categories define such theories, analogously to known results for finite Hecke categories and $D$-modules.
format Preprint
id arxiv_https___arxiv_org_abs_2603_23338
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Large Affine Hecke Category is Calabi-Yau
Okitani, Yuji
Representation Theory
Algebraic Geometry
Quantum Algebra
We show that the large affine Hecke category defines an oriented, fully extended topological field theory. More generally, we establish conditions under which ind-coherent convolution categories define such theories, analogously to known results for finite Hecke categories and $D$-modules.
title The Large Affine Hecke Category is Calabi-Yau
topic Representation Theory
Algebraic Geometry
Quantum Algebra
url https://arxiv.org/abs/2603.23338