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math.DG2010
Determinant line bundle on moduli space of parabolic bundles
Indranil Biswas
In \cite{BR1}, \cite{BR2}, a parabolic determinant line bundle on a moduli space of stable parabolic bundles was constructed, along with a Hermitian structure on it. The constructi…
math.DG2010
Holomorphic Cartan geometries and rational curves
Indranil Biswas, Benjamin McKay
We prove that any compact Kähler manifold bearing a holomorphic Cartan geometry contains a rational curve just when the Cartan geometry is inherited from a holomorphic Cartan geome…
math.DG2010
Morse theory for the space of Higgs G-bundles
Indranil Biswas, Graeme Wilkin
Fix a principal --bundle on a compact connected Riemann surface , where is a connected complex reductive linear algebraic group. We consider the gradie…