12 citations · 48 across the 26 of their papers we have counts for
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math.SG2017
Smooth invariants of focus-focus singularities and obstructions to product decomposition
Alexey Bolsinov, Anton Izosimov
We study focus-focus singularities (also known as nodal singularities, or pinched tori) of Lagrangian fibrations on symplectic -manifolds. We show that, in contrast to elliptic…
math.SG2017
Vortex sheets and diffeomorphism groupoids
Anton Izosimov, Boris Khesin
In 1966 V.Arnold suggested a group-theoretic approach to ideal hydrodynamics in which the motion of an inviscid incompressible fluid is described as the geodesic flow of the right-…
math.SG2017
Classification of Casimirs in 2D hydrodynamics
Anton Izosimov, Boris Khesin
We describe a complete list of Casimirs for 2D Euler hydrodynamics on a surface without boundary: we define generalized enstrophies which, along with circulations, form a complete…