MPEJ Volume 10, No. 9, 8 pp.
Received: Aug 15, 2002. Revised: Nov  5, 2003. Accepted:  Nov 5, 2004.

Rukmini Dey
Quantization of a dimensionally reduced Seiberg-Witten moduli space

ABSTRACT: In this paper we apply Quillen's determinant line bundle
construction to construct a prequantum line bundle on the moduli space
of solutions ${\mathcal N}$ of the dimensionally reduced Seiberg-Witten
equations with a Higgs field. The Quillen curvature of the line bundle is
shown to be proportional to a symplectic form on the moduli space.

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