21 citations · 64 across the 25 of their papers we have counts for
6 papers · 1 filter
Strong generalized holomorphic principal bundles
Debjit Pal, Mainak Poddar
We introduce the notion of a strong generalized holomorphic (SGH) fiber bundle and develop connection and curvature theory for an SGH principal -bundle over a regular generalize…
Generalized complex structure on certain principal torus bundles
Debjit Pal, Mainak Poddar
A principal torus bundle over a complex manifold with even dimensional fiber and characteristic class of type admits a family of regular generalized complex structures (GCS…
A construction of SKT manifolds using toric geometry
Hatice Coban, Cagri Haciyusufoglu, Mainak Poddar
We produce infinite families of SKT manifolds by using methods of toric geometry like the -construction. These SKT manifolds are total spaces of certain principal -bundles ov…
Almost complex structure, blowdowns and McKay correspondence in quasitoric orbifolds
Saibal Ganguli, Mainak Poddar
We prove the existence of invariant almost complex structure on any positively omnioriented quasitoric orbifold. We construct blowdowns. We define Chen-Ruan cohomology ring for any…
Blowdowns and McKay correspondence on four dimensional quasitoric orbifolds
Saibal Ganguli, Mainak Poddar
We prove the existence of torus invariant almost complex structure on any positively omnioriented four dimensional primitive quasitoric orbifold. We construct pseudo-holomorphic bl…
On Quasitoric Orbifolds
Mainak Poddar, Soumen Sarkar
Quasitoric spaces were introduced by Davis and Januskiewicz in their 1991 Duke paper. There they extensively studied topological invariants of quasitoric manifolds. These manifolds…