Anoop Singh

collaborators

4 papers

math.AG2020

Differential operators on Hitchin variety

Anoop Singh

We introduce the notion of Hitchin variety over $\C$. Let $L$ be a holomorphic line bundle over a Hitchin variety $X$ . We investigate the space of all global sections of sheaf of d…

math.AG2020

On the Moduli space of $λ$ -connections

Anoop Singh

Let $X$ be a compact Riemann surface of genus $g \geq 3$ . Let $\cat{M}_{Hod}$ denote the moduli space of stable $λ$ -connections over $X$ and $\cat{M}'_{Hod} \subset \cat{M}_{Hod}$…

math.AG2019

Moduli space of logarithmic connections singular over a finite subset of a compact Riemann surface

Anoop Singh

Let $S$ be a finite subset of a compact connected Riemann surface $X$ of genus $g \geq 2$ . Let $\cat{M}_{lc}(n,d)$ denote the moduli space of pairs $(E, D)$ , where $E$ is a holomorp…

math.AG2019

On the relative Connections

Indranil Biswas, Anoop Singh

We investigate relative connections on a sheaf of modules. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic vector bundle ove…

Differential operators on Hitchin variety

On the Moduli space of λ-connections

Moduli space of logarithmic connections singular over a finite subset of a compact Riemann surface

On the relative Connections

On the Moduli space of $λ$ -connections