126 citations · 697 across the 321 of their papers we have counts for
7 papers · 2 filters
On connections on principal bundles
Indranil Biswas
A new construction of a universal connection was given in \cite{BHS}. The main aim here is to explain this construction. A theorem of Atiyah and Weil says that a holomorphic vector…
On the Kaehler metrics over ${mathrm{Sym}^{d}(X)$
Anilatmaja Aryasomayajula, Indranil Biswas, Archana S. Morye +1
Let be a compact connected Riemann surface of genus , with . For each , where is the gonality of , the symmetric product embed…
Higgs bundles on Sasakian manifolds
Indranil Biswas, Mahan Mj
We extend the Donaldson-Corlette-Hitchin-Simpson correspondence between Higgs bundles and flat connections on compact Kähler manifolds to compact quasi-regular Sasakian manifolds.…
Homotopic properties of Kähler orbifolds
Giovanni Bazzoni, Indranil Biswas, Marisa Fernández +2
We prove the formality and the evenness of odd-degree Betti numbers for compact Kähler orbifolds, by adapting the classical proofs for Kähler manifolds. As a consequence, we obtain…
Hermitian symmetric space, flat bundle and holomorphicity criterion
Hassan Azad, Indranil Biswas, C. S. Rajan +1
Let be an irreducible Hermitian symmetric space of noncompact type and a closed torsionfree discrete subgroup. Let be a compact Kähler manifold…
Holomorphic affine connections on non-Kähler manifolds
Indranil Biswas, Sorin Dumitrescu
Our aim here is to investigate the holomorphic geometric structures on compact complex manifolds which may not be Kähler. We prove that holomorphic geometric structures of affine t…