Search

MiS Preprint Repository

Delve into the future of research at MiS with our preprint repository. Our scientists are making groundbreaking discoveries and sharing their latest findings before they are published. Explore repository to stay up-to-date on the newest developments and breakthroughs.

MiS Preprint
17/2003

Quantization of a Moduli Space of Parabolic Higgs Bundles

Indranil Biswas and Avijit Mukherjee

Abstract

Let ${\mathcal M}^s_H$ be a moduli space of stable parabolic Higgs bundles of rank two over a Riemann surface $X$. It is a smooth variety over $\mathbb C$ equipped with a holomorphic symplectic form. Fix a projective structure $\mathcal P$ on $X$. Using $\mathcal P$, we construct a quantization of a certain Zariski open dense subset of the symplectic variety ${\mathcal M}^s_H$.

Received:
Feb 20, 2003
Published:
Feb 20, 2003
MSC Codes:
14H60, 14C05
Keywords:
higgs bundles, moduli spaces, quantization

Related publications

inJournal
2004 Repository Open Access
Indranil Biswas and Avijit Mukherjee

Quantization of a moduli space of parabolic Higgs bundles

In: International journal of mathematics, 15 (2004) 9, pp. 907-917