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arXiv · 2511.19618

The Parabolic K-motivic Hecke Category

Jens Niklas Eberhardt·Arnaud Eteve
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Abstract

We define and study the parabolic K-motivic Hecke category of a (possibly disconnected) Kac-Moody group. Our main result is a combinatorial description via singular K-theory Soergel bimodules which arise from the equivariant algebraic K-theory of parabolic Bott-Samelson resolutions. In the spherical affine case, the K-motivic Hecke category serves as one side of a conjectural quantum K-theoretic derived Satake equivalence, addressing a conjecture of Cautis-Kamnitzer.

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BibTeXRIS

Jens Niklas Eberhardt, Arnaud Eteve. 2025-11-24. The Parabolic K-motivic Hecke Category. https://arxiv.org/abs/2511.19618

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