The equivariant Hirzebruch-Riemann-Roch theorem and the geometry of derived loop spaces

DOI10.1134/S0001434620050351zbMath1440.14044OpenAlexW3046481413MaRDI QIDQ2192175

A. N. Prikhod'ko

Publication date: 29 June 2020

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

Full work available at URL: https://doi.org/10.1134/s0001434620050351

zbMATH Keywords

derived loop spacesfixed point formulastraces in 2-categories

Mathematics Subject Classification ID

Riemann-Roch theorems (14C40) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) 2-categories, bicategories, double categories (18N10) Derived categories of sheaves, dg categories, and related constructions in algebraic geometry (14F08)

Cites Work

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• Tangent Lie algebra of derived Artin stacks
• Formality of derived intersections and the orbifold HKR isomorphism
• The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem
• The Lefschetz-Riemann-Roch formula

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