4 papers
Heegaard Floer invariants for cyclic 3-orbifolds
Saibal Ganguli, Mainak Poddar
We define a notion of Heegaard Floer homology for three dimensional orbifolds with arbitrary cyclic singularities, generalizing the recent work of Biji Wong where the singular locu…
Determinat Bundles and Geometric Quantization Of Vortex Moduli Spaces ON Compact Kahler Surfaces
Saibal Ganguli
In this paper we first show that on projective manifolds (M, ω), there are holomorphic determinant bundles (in the sense of Knusden-Mumford used by Bismut, Gillet, Soule) which pla…
Geometric quantization of finite Toda systems and coherent States
Rukmini Dey, Saibal Ganguli
Adler had shown in 1979 that the Toda system can be given a coad- joint orbit description. We quantize the Toda system by viewing it as a single orbit of a multiplicative group of…
The dimension of the Hilbert Space of Geometic quantization of vortices on a Riemann surface
Rukmini Dey, Saibal Ganguli
In this article we calculate the dimension of the Hilbert space of Kahler quantization of the moduli space of vortices on a Riemann surface. This dimension is given by the holomorp…