Quillen-type bundle and geometric prequantization on moduli space of the
Seiberg-Witten equations on product of Riemann surfaces
- URL: http://arxiv.org/abs/2203.15997v1
- Date: Wed, 30 Mar 2022 02:12:00 GMT
- Title: Quillen-type bundle and geometric prequantization on moduli space of the
Seiberg-Witten equations on product of Riemann surfaces
- Authors: Rukmini Dey
- Abstract summary: We show the existence of a symplectic structure on the moduli space of the Seiberg-Witten equations on $Sigma times Sigma$.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We show the existence of a symplectic structure on the moduli space of the
Seiberg-Witten equations on $\Sigma \times \Sigma$ where $\Sigma$ is a compact
oriented 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.
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