I. Biswas

activity

19942026

most citedSupersymmetric states of N=4 Yang-Mills from giant gravitons

126 citations · 697 across the 321 of their papers we have counts for

collaborators

Showing 2023 · math.AGShow all

16 papers · 2 filters

math.AG2023

Topology of the moduli spaces of Higgs bundles over abelian varieties

Indranil Biswas, Carlos Florentino, Azizeh Nozad

Abstract. Let G be a complex reductive group and A be an Abelian variety of dimension d over $C$ . We determine the Poincaré polynomials and also the mixed Hodge polynomial…

math.AG2023

A parabolic analog of a theorem of Beilinson and Schechtman

Indranil Biswas, Swarnava Mukhopadhyay, Richard Wentworth

For a simple, simply connected, complex group G, we prove an explicit formula to compute the Atiyah class of parabolic determinant of cohomology line bundle on the moduli space of…

math.AG2023

Quot schemes and Fourier-Mukai transformation

Indranil Biswas, Umesh V Dubey, Manish Kumar +1

We consider several related examples of Fourier-Mukai transformations involving the quot scheme. A method of showing conservativity of these Fourier-Mukai transformations is descri…

math.AG2023

Hodge rank of ACM bundles and Franchetta's conjecture

Indranil Biswas, G. V. Ravindra

We prove that on a general hypersurface in $P^{N}$ of degree $d$ and dimension at least $2$ , if an arithmetically Cohen-Macaulay (ACM) bundle $E$ and its dual have small reg…

math.AG2023

On the geometry of the anti-canonical bundle of the Bott-Samelson-Demazure-Hansen varieties

Indranil Biswas, S. Senthamarai Kannan, Pinakinath Saha

Let $G$ be a semi-simple simply connected algebraic group over the field $C$ of complex numbers. Let $T$ be a maximal torus of $G,$ and let $W$ be the Weyl group of $G$ wi…

math.AG2023

On some natural torsors over moduli spaces of parabolic bundles

Indranil Biswas

A moduli space $N$ of stable parabolic vector bundles, of rank $r$ and parabolic degree zero, on a $n$ -pointed curve has two naturally occurring holomorphic $T^*{\mathca…

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

Brauer and Picard groups of moduli spaces of parabolic vector bundles on a real curve

Usha N. Bhosle, Indranil Biswas

We determine the Brauer group and Picard group of the moduli space $U_{L, p a r}^{^{'} s}$ of stable parabolic vector bundles of rank $r$ with determinant $L$ on a real curve $Y$ of arit…

math.AG2023

Some results on Seshadri constants of vector bundles

Indranil Biswas, Krishna Hanumanthu, Snehajit Misra

We study Seshadri constants of certain ample vector bundles on projective varieties. Our main motivation is the following question: Under what conditions are the Seshadri constants…

math.AG2023

Pullback of principal bundles along proper morphisms

Indranil Biswas, Peter O'Sullivan

We study the behaviour of principal bundles under pullback along proper surjective morphisms of either schemes over an algebraically closed field of characteristic 0 or complex ana…

math.AG2023★ 3 cited

Pullback and direct image of parabolic connections and parabolic Higgs bundles

David Alfaya, Indranil Biswas

We provide an explicit algebraic construction for the pullback and direct image of parabolic bundles, parabolic Higgs bundles and parabolic connections through maps between Riemann…

math.AG2023

Parabolic opers and differential operators

Indranil Biswas, Niels Borne, Sorin Dumitrescu +2

Parabolic SL(r,C)-opers were defined and investigated in [BDP] in the set-up of vector bundles on curves with a parabolic structure over a divisor. Here we introduce and study holo…

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.AG2023

Genuinely ramified maps and pseudo-stable vector bundles

Indranil Biswas, A. J. Parameswaran

Let $X$ and $Y$ be irreducible normal projective varieties, of same dimension, defined over an algebraically closed field, and let $f : Y \to X$ be a finite generically smo…

math.AG2023

Bertini type results and their applications

Indranil Biswas, Manish Kumar, A. J. Parameswaran

We prove Bertini type theorems and give some applications of them. The applications are in the context of Lefschetz theorem for Nori fundamental group for normal varieties as well…

math.AG2023

Connections and genuinely ramified maps of curves

Indranil Biswas, Francois-Xavier Machu, A. J. Parameswaran

Given a singular connection $D$ on a vector bundle $E$ over an irreducible smooth projective curve $X$ , defined over an algebraically closed field, we show that there is a unique m…