The Large Affine Hecke Category is Calabi-Yau
Representation Theory
2026-04-02 v2 Algebraic Geometry
Quantum Algebra
Abstract
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 -modules.
Keywords
Cite
@article{arxiv.2603.23338,
title = {The Large Affine Hecke Category is Calabi-Yau},
author = {Yuji Okitani},
journal= {arXiv preprint arXiv:2603.23338},
year = {2026}
}
Comments
13 pages, comments welcome