7 papers
A Hochschild-Kostant-Rosenberg type theorem for coherent matrix factorizations
Arnab Kundu, Bhamidi Sreedhar
In this article, we prove a Hochschild-Kostant-Rosenberg type theorem for the category of coherent matrix factorizations associated to a Landau-Ginzburg model (X,f), where X is a q…
Timelike Entanglement Signatures of Ergodicity and Spectral Chaos
Rathindra Nath Das, Arnab Kundu, Nemai Chandra Sarkar
We investigate timelike entanglement measures derived from the spacetime density kernel in the Rosenzweig-Porter model and show that they sharply diagnose both eigenvector ergodici…
Temporal correlations and chaos from spacetime kernel
Rathindra Nath Das, Arnab Kundu, Matheus H. Martins Costa +1
We develop a finite-dimensional formulation of the recently introduced notion of ``timelike entanglement'', defined in terms of two-point functions between operators supported on d…
-connectivity of motivic spaces
Tess Bouis, Arnab Kundu
We prove a version of Morel's unstable -connectivity theorem over arbitrary base schemes. In the stable setting, this recovers (and simplifies the proof of) the known…
Isotropic Torsors on Smooth Algebras over Prüfer Rings
Arnab Kundu
The Grothendieck--Serre conjecture predicts that every generically trivial torsor under a reductive group over a regular semilocal ring is itself trivial. Extending the work of Čes…
Beilinson--Lichtenbaum phenomenon for motivic cohomology
Tess Bouis, Arnab Kundu
The goal of this paper is to study non--invariant motivic cohomology, recently defined by Elmanto, Morrow, and the first-named author, for smooth schemes over possibl…
Gersten's Injectivity for Smooth Algebras over Valuation Rings
Arnab Kundu
Gersten's injectivity conjecture for a functor of ``motivic type'', predicts that given a semilocal, ``non-singular'', integral domain with a fraction field , the restri…