97 citations
- Jawaharlal Nehru UniversityIN9 papers
- The University of Texas at AustinUS8 papers
- University of FreiburgDE7 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- Homi Bhabha National InstituteIN6 papers
- Savitribai Phule Pune UniversityIN5 papers
- Indian Institute of Technology BhubaneswarIN4 papers
- Indian Institute of Technology DelhiIN4 papers
- Institute of Mathematical SciencesIN4 papers
- Techno India UniversityIN4 papers
- ARC Centre of Excellence for Mathematical and Statistical FrontiersAU3 papers
- Asia Pacific Center for Theoretical PhysicsKR3 papers
9 papers · 1 filter
Enumeration of Rational Cuspidal Curves via the WDVV equation
Indranil Biswas, Apratim Choudhury, Ritwik Mukherjee +1
We give a conjectural formula for the characteristic number of rational cuspidal curves in the projective plane by extending the idea of Kontsevich's recursion formula (namely, pul…
Parabolic vector bundles and Lie algebroid connections
David Alfaya, Indranil Biswas, Pradip Kumar +1
Given a holomorphic Lie algebroid on an m-pointed Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure ov…
Pushforward of structure sheaf and virtual global generation
Indranil Biswas, Manish Kumar, A. J. Parameswaran
Let be a generically smooth morphism between irreducible smooth projective curves over an algebraically closed field of arbitrary characteristic. We prove that t…
Torelli theorem for moduli stacks of vector bundles and principal G-bundles
David Alfaya, Indranil Biswas, Tomás L. Gómez +1
Given any irreducible smooth complex projective curve , of genus at least , consider the moduli stack of vector bundles on of fixed rank and determinant. It is proved tha…
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…
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…