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Ramification and Finiteness of Equivariant Minimal Surfaces
Indranil Biswas, Satyajit Guin, Pradip Kumar
Let be a closed oriented surface of genus , with , and let be the good locus of representations with T…
Extensions of Operator Systems, Hyperrigidity and Quantum Double Suspension
Vibhor Bhatt, Satyajit Guin, Palash Sharma
We introduce a class of extensions of unital operator systems satisfying a certain Toeplitz type property. We show that these extensions induce corresponding extensions of the $C^*…
Gromov-Hausdorff Convergence of Spectral Truncations for Noncommutative Tori
Vibhor Bhatt, Satyajit Guin, Palash Sharma
We prove the Gromov-Hausdorff convergence of the state spaces, equipped with Connes' distance function, of the operator systems associated with spectral truncations for noncommutat…
Quantum Gromov-Hausdorff Convergence for Extensions of -Algebras
Vibhor Bhatt, Satyajit Guin, Bipul Saurabh
We investigate the lifting of quantum Gromov-Hausdorff convergence through Toeplitz type -algebra extensions by stable ideals in the framework of noncommutative metric geometr…
Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves
Indranil Biswas, Satyajit Guin, Pradip Kumar
We extend Atiyah's holomorphic jet bundle formalism to holomorphic vector bundles over noncommutative algebras endowed with a bigraded differential calculus truncated at bidegree $…
Fixed points and Holomorphic Structures on Line Bundles over the Quantum Projective Line
Indranil Biswas, Satyajit Guin, Pradip Kumar
It has recently been observed that, in contrast to the classical case, holomorphic structures on line bundles over the quantum projective line are not uniquely determined by degree…