Quantization of the Seiberg-Witten Moduli Space on Product of a Riemann Surface
- 1 January 2022
- journal article
- research article
- Published by Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences) in Journal of Geometry and Symmetry in Physics
- Vol. 64, 1-8
- https://doi.org/10.7546/jgsp-64-2022-1-8
Abstract
We show the existence of a symplectic structure on the moduli space of the Seiberg-Witten equations on E x E where E is a compact Riemann surface. To prequantize the moduli space, we construct a Quillen-type determinant line bundle on it and show its curvature is proportional to the symplectic form.MSC: 14D21, 53-XX, 81-XXKeywords
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