Rigidity and vanishing theorems in K-theory

DOI10.1016/S0764-4442(00)00155-5zbMATH Open0951.55008arXivmath/9912108OpenAlexW3102478558MaRDI QIDQ4949564

Weiping Zhang, Xiaonan Ma, Kefeng Liu

Publication date: 28 August 2000

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Abstract: In this paper, we first establish a K-theory version of the equivariant family index theorem for a circle action, then use it to prove several rigidity and vanishing theorems on the equivariant K-theory level.

Full work available at URL: https://arxiv.org/abs/math/9912108

zbMATH Keywords

elliptic genera

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Index theory and related fixed-point theorems on manifolds (58J20) Equivariant homology and cohomology in algebraic topology (55N91) Elliptic cohomology (55N34) Differential complexes (58J10) Topological (K)-theory (55N15)

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