A new 2-form for connections on surfaces with boundary |
| |
Authors: | Christopher King and Ambar Sengupta |
| |
Institution: | (1) Department of Mathematics, Northeastern University, 02115 Boston, MA, USA;(2) Department of Mathematics, Louisiana State University, 70803-4918 Baton Rouge, LA, USA |
| |
Abstract: | A natural gauge-invariant 2-form is introduced on the space of connections over a compact oriented surface with boundary. It is shown that this 2-form descends to the moduli space of flat connections, under a group of based gauge transformations. An explicit expression (in terms of holonomy variations) is given for the resulting 2-form, and it is related to the symplectic structure of the extended moduli space introduced by L. C. Jeffrey. |
| |
Keywords: | 53C05 58D27 81T13 |
本文献已被 SpringerLink 等数据库收录! |
|