L
2-Topology and Lagrangians in the Space of Connections Over a Riemann Surface |
| |
Authors: | Tomasz S Mrowka Katrin Wehrheim |
| |
Institution: | 1. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Room 2-367, Cambridge, MA, 02139-4307, USA 2. Department of Mathematics, Massachusetts Institute of Technology, 77 Massachusetts Ave, Room 2-277, Cambridge, MA, 02139-4307, USA
|
| |
Abstract: | We examine the L
2-topology of the gauge orbits over a closed Riemann surface. We prove a subtle local slice theorem based on the div-curl lemma
of harmonic analysis, and deduce local pathwise connectedness of the gauge orbits. Based on a quantitative version of the
connectivity, we generalize compactness results for anti-self-dual instantons with Lagrangian boundary conditions to general
gauge-invariant Lagrangian submanifolds. This provides the foundation for the construction of instanton Floer homology for
pairs of a 3-manifold with boundary and a Lagrangian in the configuration space over the boundary. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|