126 citations · 697 across the 321 of their papers we have counts for
7 papers · 2 filters
Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing
Indranil Biswas, Markus Upmeier
Given a central extension of Lie groups, we study the classification problem of lifting the structure group together with a given connection. For reductive structure groups we intr…
Rational parallelism on complex manifolds
Indranil Biswas, Sorin Dumitrescu
A Theorem of Wang in [Wa] implies that any holomorphic parallelism on a compact complex manifold M is flat with respect to some complex Lie algebra structure whose dimension coinci…
Higgs bundles and flat connections over compact Sasakian manifolds
Indranil Biswas, Hisashi Kasuya
Given a compact Kähler manifold , there is an equivalence of categories between the completely reducible flat vector bundles on and the polystable Higgs bundles o…
Stability and holomorphic connections on vector bundles over LVMB manifolds
Indranil Biswas, Sorin Dumitrescu, Laurent Meersseman
We characterize all LVMB manifolds X such that the holomorphic tangent bundle TX is spanned at the generic point by a family of global holomorphic vector fields, each of them havin…
Real Higgs pairs and Non-abelian Hodge correspondence on a Klein surface
Indranil Biswas, Luis Angel Calvo, Oscar Garcia-Prada
We introduce real structures on -twisted Higgs pairs over a compact Riemann surface equipped with an anti-holomorphic involution, and prove a Hitchin--Kobayashi correspondence f…
Generalized Holomorphic Cartan geometries
Indranil Biswas, Sorin Dumitrescu
This is largely a survey paper, dealing with Cartan geometries in the complex analytic category. We first remind some standard facts going back to the seminal works of F. Klein, E.…