Singular connection and Riemann theta function

Details Singular connection and Riemann theta function Singular connection and Riemann theta function

1997-01-07

arxiv.org/abs/dg-ga/9701003v1

Mathematics

Differential Geometry

Latex, 14 pages

Scientific paper

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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