Journal of Mathematics of Kyoto University

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

Ryoji Kasagawa

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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

Permanent link to this document
https://projecteuclid.org/euclid.kjm/1250517952

Digital Object Identifier
doi:10.1215/kjm/1250517952

Mathematical Reviews number (MathSciNet)
MR1684176

Zentralblatt MATH identifier
0963.53053

Subjects
Primary: 53D30: Symplectic structures of moduli spaces
Secondary: 53D12: Lagrangian submanifolds; Maslov index 53D40: Floer homology and cohomology, symplectic aspects 57R58: Floer homology

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


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