Parametrization of the Moduli Space of Flat SL(2, R) Connections on the Torus |
| |
Authors: | Nelson J E Picken R F |
| |
Institution: | (1) Dipartimento di Fisica Teorica, Università degli Studi di Torino, and Istituto Nazionale di Fisica Nucleare, Sezione di Torino, via Pietro Giuria 1, 10125 Turin, Italy;(2) Departamento de Matemática and Centro de Matemática Aplicada, Instituto Superior Técnico, Avenida Rovisco Pais, 1049-001 Lisbon, Portugal |
| |
Abstract: | The moduli space of flat SL(2, R)-connections modulo gauge transformations on the torus may be described by ordered pairs of commuting SL(2, R) matrices modulo simultaneous conjugation by SL(2, R) matrices. Their spectral properties allow a classification of the equivalence classes, and a unique canonical form is given for each of these. In this way the moduli space becomes explicitly parametrized, and has a simple structure, resembling that of a cell complex, allowing it to be depicted. Finally, a Hausdorff topology based on this classification and parametrization is proposed. |
| |
Keywords: | moduli spaces flat connections SL(2 R) |
本文献已被 SpringerLink 等数据库收录! |
|