English

Witten genera of complete intersections

Geometric Topology 2026-01-01 v2 Differential Geometry

Abstract

We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous Spinc\text{Spin}^c-manifolds and in other Spinc\text{Spin}^c-manifolds with Lie group actions. By applying these results to Fano manifolds with second Betti number equal to one we get new evidence for a conjecture of Stolz.

Cite

@article{arxiv.2410.21412,
  title  = {Witten genera of complete intersections},
  author = {Michael Wiemeler},
  journal= {arXiv preprint arXiv:2410.21412},
  year   = {2026}
}

Comments

minor changes in v2, to appear in the Bulletin of the LMS

R2 v1 2026-06-28T19:38:40.132Z