126 citations · 697 across the 321 of their papers we have counts for
7 papers · 2 filters
Holomorphic Cartan geometries on complex tori
Indranil Biswas, Sorin Dumitrescu
In [DM] it was asked whether all flat holomorphic Cartan geometries (G,H) on a complex torus are translation invariant. We answer this affimatively under the assumption that the co…
Metric properties of parabolic ample bundles
Indranil Biswas, Vamsi Pritham Pingali
We introduce a notion of admissible Hermitian metrics on parabolic bundles and define positivity properties for the same. We develop Chern-Weil theory for parabolic bundles and pro…
On the stability of flat complex vector bundles over parallelizable manifolds
Indranil Biswas, Sorin Dumitrescu, Manfred Lehn
We investigate the flat holomorphic vector bundles over compact complex parallelizable manifolds , where is a complex connected Lie group and is a cocompact lattice…
Equivariant bundles and adapted connections
Indranil Biswas, Arjun Paul, Arideep Saha
Given a complex manifold equipped with a holomorphic action of a connected complex Lie group , and a holomorphic principal --bundle over equipped with a --co…
Branched holomorphic Cartan geometries and Calabi-Yau manifolds
Indranil Biswas, Sorin Dumitrescu
We introduce the concept of a branched holomorphic Cartan geometry. It generalizes to higher dimension the definition of branched (flat) complex projective structure on a Riemann s…
Flat connections and cohomology invariants
Indranil Biswas, Marco Castrillón López
The main goal of this article is to construct some geometric invariants for the topology of the set of flat connections on a principal -bundle $P\,\longrightarrow\…