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arXiv · 2504.12798

Relative Serre duality for Hecke categories

Quoc P. Ho·Penghui Li
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Abstract

We prove a conjecture of Gorsky, Hogancamp, Mellit, and Nakagane in the Weyl group case. Namely, we show that the left and right adjoints of the parabolic induction functor between the associated Hecke categories of Soergel bimodules differ by the relative full twist. This exhibits a relative Serre duality pattern for the Hecke categories.

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BibTeXRIS

Quoc P. Ho, Penghui Li. 2025-04-17. Relative Serre duality for Hecke categories. https://doi.org/10.1007/s00029-026-01175-5

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