Rahul Singh

collaborators

3 papers

math.AG2026

Spectral and Logarithmic Atiyah Classes for Higgs Bundles

Pradip Kumar, Sai Rasmi Ranjan Mohanty, Savita Rani +1

For a regular semisimple Higgs bundle with a smooth spectral curve, we prove that, over the \etale\ locus, the Atiyah class of the underlying bundle is induced by the Atiyah class…

math.AG2026

Equivariant Chevalley, Giambelli, and Monk Formulae for the Peterson Variety

Rebecca Goldin, Rahul Singh

We present a formula for the PoincarÃ© dual in the flag manifold of the equivariant fundamental class of any regular nilpotent or regular semisimple Hessenberg variety as a polynom…

math.AG2025

Counting Parabolic Principal G-bundles with Nilpotent Sections over $P^{1}$

Rahul Singh

Let $G$ be a split connected reductive group over $F_{q}$ and let $P^{1}$ be the projective line over $F_{q}$ . Firstly, we give an explicit formula for the num…

Spectral and Logarithmic Atiyah Classes for Higgs Bundles

Equivariant Chevalley, Giambelli, and Monk Formulae for the Peterson Variety

Counting Parabolic Principal G-bundles with Nilpotent Sections over P1

Counting Parabolic Principal G-bundles with Nilpotent Sections over $P^{1}$