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Singular connection and Riemann theta function

Weiping Li
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Abstract

We prove the Chern-Weil formula for SU(n+1)-singular connections over the complement of an embedded oriented surface in smooth four manifolds. The expression of the representation of a number as a sum of nonvanishing squares is given in terms of the representations of a number as a sum of squares. Using the number theory result, we study the irreducible SU(n+1)-representations of the fundamental group of the complement of an embedded oriented surface in smooth four manifolds.

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Weiping Li. 1997-01-07. Singular connection and Riemann theta function. https://arxiv.org/abs/dg-ga/9701003

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