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arXiv · 2410.21412

Witten genera of complete intersections

Michael Wiemeler
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Abstract

We prove vanishing results for Witten genera of string generalized complete intersections in homogeneous $\text{Spin}^c$-manifolds and in other $\text{Spin}^c$-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.

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Michael Wiemeler. 2025-12-30. Witten genera of complete intersections. https://doi.org/10.1112/blms.70295

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