Positive curvature and the elliptic genus

Weisskopf, Nicolas

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Journal article

Positive curvature and the elliptic genus

Weisskopf, Nicolas Département de mathématiques, Université de Fribourg, Switzerland

13.02.2017

Published in:

New York Journal of Mathematics. - 2017, vol. 23, p. 193–212

English We prove some results about the vanishing of the elliptic genus on positively curved Spin manifolds with logarithmic symmetry rank. The proofs are based on the rigidity of the elliptic genus and Kennard's improvement of the Connectedness Lemma for transversely intersecting, totally geodesic submanifolds.

Faculty

Faculté des sciences et de médecine

Department

Département de Mathématiques

Language