5 papers
Unit Killing Initial Data
Igor Khavkine, Salvador Mengual Sendra
We find a system of differential equations on an initial data surface whose solutions are in bijection with unit vector fields on the Einstein -vacuum development that are prop…
Poisson bracket and algebras
VinÃcius Bernardes, Vinícius Bernardes, Theodore Erler +3
We describe the Poisson bracket of a Lagrangian field theory expressed in the framework of algebras. If the symplectic structure on phase space is defined following rece…
Compatibility complexes for the conformal-to-Einstein operator
Igor Khavkine, Josef Å ilhan
The conformal-to-Einstein operator is a conformally invariant linear overdetermined differential operator whose non-vanishing solutions correspond to Einstein metrics within a conf…
Synthetic Differential Jet Bundles are Reduced
Grigorios Giotopoulos, Igor Khavkine, Hisham Sati +1
We have previously observed that the theory of solutions of partial differential equations, regarded as diffieties inside jet bundles, acquires a powerful comonadic formulation aft…
Operator -theoretic analysis of random adjacency matrices
Bhishan Jacelon, Igor Khavkine
We appeal to results from combinatorial random matrix theory to deduce that various random graph -algebras are asymptotically almost surely Kirchberg algebras with tr…