Journal of Mathematics of Kyoto University

Some examples of Lagrangian submanifolds of the moduli space of flat connections

Ryoji Kasagawa

Abstract

We will construct monotone Lagrangian submanifolds of a well-known finite ramified covering of the moduli space of flat connections on a nontrivial $SO(3)$-bundle over a closed oriented surface. Moreover we will give some examples of the Floer cohomology group of Lagrangian submanifolds.

Article information

Source
J. Math. Kyoto Univ., Volume 39, Number 1 (1999), 25-39.

Dates
First available in Project Euclid: 17 August 2009

https://projecteuclid.org/euclid.kjm/1250517952

Digital Object Identifier
doi:10.1215/kjm/1250517952

Mathematical Reviews number (MathSciNet)
MR1684176

Zentralblatt MATH identifier
0963.53053

Citation

Kasagawa, Ryoji. Some examples of Lagrangian submanifolds of the moduli space of flat connections. J. Math. Kyoto Univ. 39 (1999), no. 1, 25--39. doi:10.1215/kjm/1250517952. https://projecteuclid.org/euclid.kjm/1250517952