Sumit K. Roy

collaborators

3 papers

math.AG2024

On some topological equivalences for moduli spaces of $G$ -bundles

Sumit Roy

Let $X$ be a smooth projective curve of genus $g \geq 3$ , and let $G$ be a nontrivial connected reductive affine algebraic group over $C$ . Examining the moduli spaces of r…

math.AG2023

Topology of moduli of parabolic connections with fixed determinant

Nilkantha Das, Sumit Roy

Let $X$ be a compact Riemann surface of genus $g \geq 2$ and $D \subset X$ be a fixed finite subset. Let $ξ$ be a line bundle of degree $d$ over $X$ . Let $M (α, r, ξ)$ (res…

math.AG2023

Semiprojectivity of the moduli of principal $G$ -bundles with $λ$ -connections

Sumit Roy, Anoop Singh

Let $X$ be a compact connected Riemann surface of genus $g \geq 2$ and $G$ a connected reductive affine algebraic group over $C$ . We prove the semiprojectivity of the modu…

On some topological equivalences for moduli spaces of G-bundles

Topology of moduli of parabolic connections with fixed determinant

Semiprojectivity of the moduli of principal G-bundles with λ-connections

On some topological equivalences for moduli spaces of $G$ -bundles

Semiprojectivity of the moduli of principal $G$ -bundles with $λ$ -connections