Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces
Differential Geometry
2012-04-26 v4 High Energy Physics - Theory
Abstract
We present gluing formulas for zeta regularized determinants of Dolbeault laplacians on Riemann surfaces. These are expressed in terms of determinants of associated operators on surfaces with boundary satisfying local elliptic boundary conditions. The conditions are defined using the additional structure of a framing, or trivialization of the bundle near the boundary. An application to the computation of bosonization constants follows directly from these formulas.
Keywords
Cite
@article{arxiv.1008.2914,
title = {Gluing formulas for determinants of Dolbeault laplacians on Riemann surfaces},
author = {Richard A. Wentworth},
journal= {arXiv preprint arXiv:1008.2914},
year = {2012}
}
Comments
Final version; to appear in Communications in Analysis and Geometry