2 citations · 2 across the 10 of their papers we have counts for
13 papers
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…
On two notions of torsion and metric compatibility of connections in noncommutative geometry
Jyotishman Bhowmick, Bappa Ghosh, Satyajit Guin
We compare the notions of metric-compatibility and torsion of a connection in the frameworks of Beggs-Majid and Mesland-Rennie. It follows that for -preserving connections, c…
Higher reflections and entropy of canonical shifts for inclusions of -algebras with finite Watatani index
Keshab Chandra Bakshi, Satyajit Guin, Biplab Pal +1
Given a unital inclusion of simple -algebras equipped with a conditional expectation of index-finite type, we study Fourier transforms and rotation operators and introduce the…
A noncommutative construction of families of biunitary matrices and application to subfactors
Keshab Chandra Bakshi, Satyajit Guin, Guruprasad
We introduce a construction that, given a pair (u,v) of complex Hadamard matrices of the same order, generates infinitely many biunitary matrices of varying (and distinct) orders.…
Von Neumann entropy of the angle operator between a pair of intermediate subalgebras
Keshab Chandra Bakshi, Satyajit Guin, Biplab Pal
Given a pair of intermediate -subalgebras of a unital inclusion of simple -algebras with a conditional expectation of finite Watatani index, we discuss the corresponding…
On Pimsner-Popa orthonormal basis and Popa's relative dimension of projections
Keshab Chandra Bakshi, Satyajit Guin
We show that any depth 2 subfactor with a simple first relative commutant has a unitary orthonormal basis. As a pleasant consequence, we produce new elements in the set of Popa's r…
A few remarks on intermediate subalgebras of an inclusion of C*-algebras
Keshab Chandra Bakshi, Satyajit Guin, Debabrata Jana
We show that the angle between intermediate -subalgebras of an inclusion of simple -algebras with finite Watatani index is stable. The notion of angle is instrumental in…
Fourier theoretic inequalities for inclusion of simple C*-algebras
Keshab Chandra Bakshi, Satyajit Guin, Sruthymurali
This paper originates from a naive attempt to establish various non-commutative Fourier theoretic inequalities for an inclusion of simple C*-algebras equipped with a conditional ex…