Rigidity of elliptic genera for nonspin manifolds

Wiemeler, Michael¹

¹Mathematisches Institut, Universität Münster, Münster, Germany

Algebraic and Geometric Topology, Tome 25 (2025) no. 4, pp. 2083-2097

Résumé

We discuss the rigidity of elliptic genera for nonspin manifolds M with S1-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 π2(M) that guarantees the rigidity in the case that the universal covering of M is nonspin.

Détail

DOI : 10.2140/agt.2025.25.2083

Keywords: rigidity of elliptic genera, orientability of fixed point sets

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