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arXiv · 2512.13968

A semisimple subcategory of Khovanov's Heisenberg category

Sam K. Miller
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Abstract

We show the existence of a semisimple replete subcategory of Khovanov's Heisenberg category that retains the isomorphism data of objects for the full category. This leads to a noncommutative tensor-triangular geometric example of a monoidal triangulated category whose Balmer spectrum satisfies the tensor product property but which contains one-sided thick tensor-ideals that are not two-sided, and whose standard support varieties fail to classify one-sided thick tensor-ideals.

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Sam K. Miller. 2025-12-16. A semisimple subcategory of Khovanov's Heisenberg category. https://arxiv.org/abs/2512.13968

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