Beyond perturbation 2: asymptotics and Beilinson–Drinfeld Grassmannians in differential geometry

Dedicated to Yuri Ivanovich Manin on the occasion of his 85th birthdayWe prove that k 2 given a smooth compact k-dimensional manifold N and a multiplicative k -1-gerbe on a Lie group G together with a connection, there is a line bundle on the Beilinson-Drinfeld Grassmannian Gr G (N ) having the factorization property.

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Publication Details

Journal
Algebraic Geometry and Physics
Published
2025-01-01
DOI
https://doi.org/10.4310/agp.250624002012
Primary Topic
Advanced Differential Geometry Research
Type
article
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Beyond perturbation 2: asymptotics and Beilinson–Drinfeld Grassmannians in differential geometry

Dennis Borisov, Kobi Kremnizer
Algebraic Geometry and Physics
Advanced Differential Geometry Research
article

Beyond perturbation 2: asymptotics and Beilinson–Drinfeld Grassmannians in differential geometry

Dennis Borisov, Kobi Kremnizer
article en

Abstract

Dedicated to Yuri Ivanovich Manin on the occasion of his 85th birthdayWe prove that k 2 given a smooth compact k-dimensional manifold N and a multiplicative k -1-gerbe on a Lie group G together with a connection, there is a line bundle on the Beilinson-Drinfeld Grassmannian Gr G (N ) having the factorization property.

Algebraic Geometry and PhysicsVol. 2(1)
University of Oxford (GB), University of Windsor (CA)
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Advanced Differential Geometry Research
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