On the Witten rigidity theorem for string\(^c\) manifolds

DOI10.2140/PJM.2013.266.477zbMATH Open1307.58009arXiv1206.5955OpenAlexW3103727291MaRDI QIDQ395042

Bo Liu, Jianqing Yu

Publication date: 28 January 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Abstract: We establish the family rigidity and vanishing theorems on the equivariant $K$-theory level for the Witten type operators on String$c^{}$ manifolds introduced by Chen-Han-Zhang.

Full work available at URL: https://arxiv.org/abs/1206.5955

zbMATH Keywords

\(K\)-theoryelliptic genus\(\text{string}^{c}\) manifold

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Spin and Spin({}^c) geometry (53C27) Elliptic genera (58J26)

Related Items (2)

The Stasheff model of a simply-connected manifold and the string bracket ⋮ String^{𝑐} structures and modular invariants

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