Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem

DOI10.1134/s0081543823010108zbMath1527.14015arXiv2211.15932OpenAlexW4379526551WikidataQ122908315 ScholiaQ122908315MaRDI QIDQ6156022

D. V. Osipov

Publication date: 9 June 2023

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.15932

zbMATH Keywords

Laurent seriesgroups of diffeomorphismsinfinite-dimensional Lie groupsBaer sumContou-Carrère symbolGelfand-Fuchs cocyclesdouble loop groupsVirasoro groupsreal Riemann-Roch theorem

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Lie algebras of linear algebraic groups (17B45) Symbols and arithmetic ((K)-theoretic aspects) (19F15) Higher symbols, Milnor (K)-theory (19D45) Formal power series rings (13F25) Riemann-Roch theorems, Chern characters (19L10)

Related Items (1)

Determinant central extension and $\cup$-products of 1-cocycles

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