Intersection numbers of twisted homology and cohomology groups associated to the Riemann-Wirtinger integral

Yoshiaki Goto

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arXiv · 2206.03177

Intersection numbers of twisted homology and cohomology groups associated to the Riemann-Wirtinger integral

Yoshiaki Goto

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Abstract

The Riemann-Wirtinger integral is an analogue of the hypergeometric integral, which is defined as an integral on a one-dimensional complex torus. We study the intersection forms on the twisted homology and cohomology groups associated with the Riemann-Wirtinger integral. We derive explicit formulas of some intersection numbers, and apply them to study the monodromy representation, connection problems, and contiguity relations.

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Yoshiaki Goto. 2022-06-26. Intersection numbers of twisted homology and cohomology groups associated to the Riemann-Wirtinger integral. https://arxiv.org/abs/2206.03177

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