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arXiv · 2306.13167

Iterated residue, toric forms and Witten genus

Fei Han·Hao Li·Zhi Lü
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Abstract

We introduce the notion of {\em iterated residue} to study generalized Bott manifolds. When applying the iterated residues to compute the Borisov-Gunnells toric form and the Witten genus of certain toric varieties as well as complete intersections, we obtain interesting vanishing results and some theta function identities, one of which is a twisted version of a classical Rogers-Ramanujan type formula.

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Fei Han, Hao Li, Zhi Lü. 2023-06-22. Iterated residue, toric forms and Witten genus. https://arxiv.org/abs/2306.13167

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