English

On rigidity of complex Hirzebruch genera on $SU$-manifolds

Algebraic Topology 2024-02-16 v1

Abstract

We prove that if a complex genus φ ⁣:ΩUR\varphi \colon \varOmega^U \to R is rigid on SUSU-manifolds with a torus action then φ\varphi is the elliptic Krichever genus.

Keywords

Cite

@article{arxiv.2402.10049,
  title  = {On rigidity of complex Hirzebruch genera on $SU$-manifolds},
  author = {Georgy Chernykh},
  journal= {arXiv preprint arXiv:2402.10049},
  year   = {2024}
}