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https://hdl.handle.net/2440/134061
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Type: | Journal article |
Title: | Witten Genus and Elliptic genera for proper actions |
Author: | Han, F. Mathai, V. |
Citation: | Communications in Mathematical Physics, 2022; 389(2):1215-1239 |
Publisher: | Springer-Verlag |
Issue Date: | 2022 |
ISSN: | 0010-3616 1432-0916 |
Statement of Responsibility: | Fei Han, Varghese Mathai |
Abstract: | In this paper, we construct for the first time, the Witten genus and elliptic genera on noncompact manifolds with a proper cocompact action by an almost connected Lie group and prove vanishing and rigidity results that generalise known results for compact group actions on compact manifolds. We also compute our genera for some interesting examples. We add an appendix on the equivariant non-spin case. |
Keywords: | elliptic genera |
Description: | Published online: 01 December 2021 |
Rights: | © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 |
DOI: | 10.1007/s00220-021-04269-7 |
Grant ID: | http://purl.org/au-research/grants/arc/FL170100020 |
Published version: | http://dx.doi.org/10.1007/s00220-021-04269-7 |
Appears in Collections: | Mathematical Sciences publications |
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