Formal loops II: A local Riemann–Roch theorem for determinantal gerbes

DOI10.1016/j.ansens.2006.12.003zbMath1129.14022arXivmath/0509646OpenAlexW2079749636MaRDI QIDQ5297493

Mikhail Kapranov, Eric Vasserot

Publication date: 11 July 2007

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0509646

zbMATH Keywords

loop spacesRiemann-Roch theoremgerbeschiral differential operators

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43)

Related Items

Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem, Local Jacobian of a relative formal curve, A direct proof of the Steinberg property of the Contou-Carrère symbol, Formal loops. III. Additive functions and the Radon transform, Supersymmetry and the formal loop space, The two-dimensional Contou-Carrère symbol and reciprocity laws, Riemann–Roch for Real Varieties, Gerbal central extensions of reductive groups by \(\mathcal{K}_3\), Affine Demazure modules and \(T\)-fixed point subschemes in the affine Grassmannian, Iterated Laurent series over rings and the Contou-Carrère symbol, A generalized Contou-Carrère symbol and its reciprocity laws in higher dimensions, A new explicit expression of the Contou-Carrère symbol, Higher adeles and non-abelian Riemann-Roch

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