activity
20062026
most citedFull solution of the factoriality question for -Araki-Woods von Neumann algebras via conjugate variables

11 citations · 38 across the 23 of their papers we have counts for

collaborators

27 papers

math.OA2026

Coarse rigidity in von Neumann algebras via derivations

Manish Kumar, Melchior Wirth

We propose a notion of relative coarse rigidity for -finite von Neumann algebras through modular derivations and their associated GNS-symmetric quantum Markov semigroups, extend…

math.AG2023

Quot schemes and Fourier-Mukai transformation

Indranil Biswas, Umesh V Dubey, Manish Kumar +1

We consider several related examples of Fourier-Mukai transformations involving the quot scheme. A method of showing conservativity of these Fourier-Mukai transformations is descri…

math.AG2023

A criterion for solving embedding problems for the etale fundamental group of curves

Manish Kumar, Poulami Mandal

Let be an affine curve over an algebraically closed field of characteristic . Given an embedding problem for…

math.AG2023

Bertini type results and their applications

Indranil Biswas, Manish Kumar, A. J. Parameswaran

We prove Bertini type theorems and give some applications of them. The applications are in the context of Lefschetz theorem for Nori fundamental group for normal varieties as well…

math.OA2023★ 11 cited

Full solution of the factoriality question for -Araki-Woods von Neumann algebras via conjugate variables

Manish Kumar, Adam Skalski, Mateusz Wasilewski

We establish factoriality of -Araki-Woods von Neumann algebras (with the number of generators at least two) in full generality, exploiting the approach via conjugate variables d…

math.AG2022

On the stability of pulled back parabolic vector bundles

Indranil Biswas, Manish Kumar, A. J. Parameswaran

Take an irreducible smooth projective curve defined over an algebraically closed field of characteristic zero, and fix finitely many distinct point $D\, =\, \{x_1,\, \cdots,\,…