Iterated residue, toric forms and Witten genus

Fei Han; Hao Li; Zhi L\"u

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Iterated residue, toric forms and Witten genus

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arxiv 2306.13167 v2 pith:23JFQYVW submitted 2023-06-22 math.AT

Iterated residue, toric forms and Witten genus

Fei Han , Hao Li , Zhi L\"u This is my paper

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keywords iteratedtoricgenusresiduewittenapplyingborisov-gunnellsbott

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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.

Iterated residue, toric forms and Witten genus

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