J. Hurtubise

activity

19922025

most citedDarboux Coordinates and Liouville-Arnold Integration in Loop Algebras

112 citations · 225 across the 39 of their papers we have counts for

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32 papers · 1 filter

math.AG2025

Induced Representations on Character Varieties of Surfaces

Indranil Biswas, Jacques Hurtubise, Lisa C. Jeffrey +1

We show that a Frobenius reciprocity map on character varieties of surfaces is a Poisson embedding.

math.AG2025

Torsors over moduli spaces of vector bundles over curves of fixed determinant

Indranil Biswas, Jacques Hurtubise

Let $M$ be a moduli space of stable vector bundles of rank $r$ and determinant $ξ$ on a compact Riemann surface $X$ . Fix a semistable holomorphic vector bundle $F$ on $X…

math.AG2023

Moduli spaces of vector bundles on a curve and opers

Indranil Biswas, Jacques Hurtubise, Vladimir Roubtsov

Let $X$ be a compact connected Riemann surface of genus $g$ , with $g \geq 2$ , and let $ξ$ be a holomorphic line bundle on $X$ with $ξ^{\otimes 2} = O_{X}$ . Fix a the…

math.AG2023

Framed Parabolic sheaves on a trinion

Indranil Biswas, Jacques Hurtubise

We consider for structure groups $SU (n) \subset SL (n, C)$ a densely defined toric structure on the moduli of framed parabolic sheaves on a three-punctured sph…

math.AG2021

Degenerations of Bundle Moduli

Indranil Biswas, Jacques Hurtubise

Over a family $X$ of genus $g$ complete curves, which gives the degeneration of a smooth curve into one with nodal singularities, we build a moduli space which is the modul…

math.AG2021

Vector bundles and connections on Riemann surfaces with projective structure

Indranil Biswas, Jacques Hurtubise, Vladimir Roubtsov

Let $B_{g} (r)$ be the moduli space of triples of the form $(X, K_{X}^{1/2}, F)$ , where $X$ is a compact connected Riemann surface of genus $g$ , with $g \geq 2$ , $K^{…