Rigidity of elliptic genera for non-spin manifolds
Abstract
We discuss the rigidity of elliptic genera for non-spin manifolds $M$ with $S^1$-action. We show that if the universal covering of $M$ is spin, then the universal elliptic genus of $M$ is rigid. Moreover, we show that there is no condition which only depends on $\pi_2(M)$ that guarantees the rigidity in the case that the universal covering of $M$ is non-spin.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2022
- DOI:
- 10.48550/arXiv.2212.01059
- arXiv:
- arXiv:2212.01059
- Bibcode:
- 2022arXiv221201059W
- Keywords:
-
- Mathematics - Geometric Topology;
- 53C27;
- 57R15;
- 57R91;
- 57S15;
- 58J26
- E-Print:
- 14 pages, minor changes, to appear in AGT