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Nicolas Weisskopf
Positive curvature and the elliptic genus view print
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| Published: |
February 13, 2017 |
| Keywords: |
Positive curvature, elliptic genus, logarithmic symmetry rank |
| Subject: |
53C20, 58J26 |
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Abstract
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.
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| Acknowledgements
The author was supported by the Swiss National Science Foundation project 200020_149761.
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| Author information
Nicolas Weisskopf, Département de mathématiques, Université de Fribourg, Chemin du Musée 23, 1700 Fribourg, Switzerland
nic.weisskopf@gmail.com
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