Circle Actions and Higher Elliptic Genera

  • Yasuhiro Hara

    Osaka University, Japan


For a manifold with an _S_1-action, we define generalized elliptic genera by using the orbit map and generalize Hirzebruch-Slodowy's formula in [9]. As a result, we have vanishing theorems of higher elliptic genera and higher twisted Â-genera. We also generalize elliptic genera of level N for stable almost complex manifolds and have a similar vanishing theorem.

Cite this article

Yasuhiro Hara, Circle Actions and Higher Elliptic Genera. Publ. Res. Inst. Math. Sci. 31 (1995), no. 4, pp. 599–608

DOI 10.2977/PRIMS/1195163916