Relative Serre duality for Hecke categories
Published: Apr 17, 2025
Last Updated: Apr 17, 2025
Authors:Quoc P. Ho, Penghui Li
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.