8 citations · 8 across the 3 of their papers we have counts for
4 papers
Generalized Marsden-Weinstein symplectic structures
Boris Khesin, Klas Modin, Cornelia Vizman
We define a symplectic structure on singular 1-form densities and a presymplectic structure on augmented triples, a compressible analog of the Marsden--Weinstein symplectic structu…
Madelung hydrodynamics and Poisson geometry of wave functions
Boris Khesin, Klas Modin
We describe the Poisson geometry of the Madelung transform between quantum mechanics and hydrodynamics for generic wave functions. We prove that for arbitrary oriented manifolds th…
Universal vector and matrix optimal transport
Boris Khesin, Klas Modin
In this paper we propose a gauge-theoretic approach to the problems of optimal mass transport for vector and matrix densities. This resolves both the issues of positivity and actio…
Polar Homology and Holomorphic Bundles
B. Khesin, A. Rosly
We describe polar homology groups for complex manifolds. The polar k-chains are subvarieties of complex dimension k with meromorphic forms on them, while the boundary operator is d…