Automorphism group of the moduli space of parabolic vector bundles with fixed degree

Automorphism Fixed Points in the Moduli Space of Semistable Bundles

Given an automorphism τ of a smooth complex algebraic curve X, there is an induced action on the moduli space M of semi-stable rank 2 holomorphic bundles with fixed determinant. We give a complete description of the fixed variety in terms of moduli spaces of parabolic bundles on the quotient curve X/〈τ〉.

Torelli Theorem for the Moduli Space of Parabolic Higgs Bundles

In this article we extend the proof given by Biswas and Gómez [BG] of a Torelli theorem for the moduli space of Higgs bundles with fixed determinant, to the parabolic situation.

Some Index Formulæ on the Moduli Space of Stable Parabolic Vector Bundles

We study natural families of ∂-operators on the moduli space of stable parabolic vector bundles. Applying a families index theorem for hyperbolic cusp operators from our previous work, we find formulæ for the Chern characters of the associated index bundles. The contributions from the cusps are explicitly expressed in terms of the Chern characters of natural vector bundles related to the parabo...

Anticanonical Divisors of a Moduli Space of Parabolic Vector Bundles of Half Weight

Quantization of a Moduli Space of Parabolic Higgs Bundles

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