Universität zu Köln

Liu, Bo and Yu, Jianqing (2015). RIGIDITY AND VANISHING THEOREMS ON Z/k SPINc MANIFOLDS. Trans. Am. Math. Soc., 367 (2). S. 1381 - 1421. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6850

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Abstract

In this paper, we first establish an S-1-equivariant index theorem for Spinc Dirac operators on Z/k manifolds, and then combining this equivariant index theorem with the methods developed by Liu-Ma-Zhang and Taubes, we extend Witten's rigidity theorem to the case of Z/k Spinc manifolds. Among others, our results resolve a conjecture of Devoto.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Liu, Bo UNSPECIFIED UNSPECIFIED UNSPECIFIED Yu, Jianqing UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-412926
Journal or Publication Title:	Trans. Am. Math. Soc.
Volume:	367
Number:	2
Page Range:	S. 1381 - 1421
Date:	2015
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6850
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ELLIPTIC GENERA; SPECTRAL ASYMMETRY; CIRCLE-ACTIONS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/41292