A gerbe for the elliptic gamma function

DOI10.1215/S0012-7094-08-14111-0zbMath1130.33010arXivmath/0601337OpenAlexW3104072524MaRDI QIDQ2465257

Carlo Antonio Rossi, André Henriques, Chenchang Zhu, Giovanni Felder

Publication date: 9 January 2008

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601337

zbMATH Keywords

elliptic gamma function

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Other functions coming from differential, difference and integral equations (33E30)

Related Items (5)

Integrating central extensions of Lie algebras via Lie 2-groups ⋮ Modular factorization of superconformal indices ⋮ Gerbes and the holomorphic Brauer group of complex tori ⋮ Equivariant cohomology for differentiable stacks ⋮ Localization of 4d \(\mathcal{N} = 1\) theories on \(\mathbb{D}^2 \times \mathbb{T}^2\)

Cites Work

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• The cohomology of \(SL_3(Z)\)
• Extensions of residually finite groups
• Cohomology of split group extensions
• The modular properties and the integral representations of the multiple elliptic gamma functions
• \(q\)-deformed KZB heat equation: completeness, modular properties and \(\text{SL}(3,\mathbb Z)\).
• \(S^1\)-bundles and gerbes over differentiable stacks.
• Equivariant smooth Deligne cohomology
• Etale homotopy
• Théorie de Hodge. III
• Sur quelques points d'algèbre homologique
• An elliptic analogue of the multiple gamma function
• Etale Homotopy of Simplicial Schemes. (AM-104)
• Groupoid cohomology and extensions
• First order analytic difference equations and integrable quantum systems
• Even powers of divisors and elliptic zeta values
• Bundle Gerbes
• Loop spaces, characteristic classes and geometric quantization
• The elliptic gamma function and \(\text{SL}(3,\mathbb Z)\ltimes\mathbb Z^3\).

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