Central extensions by $${\mathbf {K}}_2$$ and factorization line bundles

Tao, James; Zhao, Yifei

doi:10.1007/s00208-021-02154-1

Math. Ann.

2021

DOI: 10.1007/s00208-021-02154-1

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Central extensions by $${\mathbf {K}}_2$$ and factorization line bundles

James Tao

Yifei Zhao

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2023

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Quantum parameters of the geometric Langlands theory

Zhao

2023

Sel. Math. New Ser.

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Fix a smooth, complete algebraic curve X over an algebraically closed field k of characteristic zero. To a reductive group G over k, we associate an algebraic stack $${\text {Par}}_G$$ Par G of quantum parameters for the geometric Langlands theory. Then we construct a family of (quasi-)twistings parametrized by $${\text {Par}}_G$$ Par G , whose module categories give rise to twisted $${\mathcal {D}}$$ D -modules on $${\text {Bun}}_G$$ Bun G as well as quasi-coherent sheaves on the DG stack $${\text {LocSys}}_G$$ LocSys G .

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Quantum parameters of the geometric Langlands theory

Zhao

2023

Sel. Math. New Ser.

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Central extensions by $${\mathbf {K}}_2$$ and factorization line bundles

Cited by 1 publication

References 11 publications

Quantum parameters of the geometric Langlands theory

Quantum parameters of the geometric Langlands theory

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