Singular connection and Riemann theta function
dg-ga
2008-02-03 v1 Differential Geometry
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.
Cite
@article{arxiv.dg-ga/9701003,
title = {Singular connection and Riemann theta function},
author = {Weiping Li},
journal= {arXiv preprint arXiv:dg-ga/9701003},
year = {2008}
}
Comments
Latex, 14 pages