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arXiv · 2606.29585

Quantum Betti geometric Langlands functor

Ekaterina Bogdanova
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Abstract

We construct the quantum geometric Langlands functor in the Betti setting via Whittaker coefficients. We show that the functor is compatible with the 2-Fourier-Mukai equivalence between sheaves of categories over 2-stacks $\operatorname{Ge}_{Z_G}$ and $\operatorname{Ge}_{\pi_1(\check{G})}$, which classify gerbes on $X$ with respect to the center $Z_G$ of $G$ and algebraic fundamental group $\pi_1(\check{G})$ of $\check{G}$.

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BibTeXRIS

Ekaterina Bogdanova. 2026-06-28. Quantum Betti geometric Langlands functor. https://arxiv.org/abs/2606.29585

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