Iterated residue, toric forms and Witten genus
Algebraic Topology
2025-01-13 v2
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.
Keywords
Cite
@article{arxiv.2306.13167,
title = {Iterated residue, toric forms and Witten genus},
author = {Fei Han and Hao Li and Zhi Lü},
journal= {arXiv preprint arXiv:2306.13167},
year = {2025}
}
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23 pages