MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Quantization of a Moduli Space of Parabolic Higgs Bundles

Indranil Biswas and Avijit Mukherjee


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 ${\mathcal M}^s_H$.

MSC Codes:
14H60, 14C05
higgs bundles, moduli spaces, quantization

Related publications

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