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27 papers · 1 filter
Tracking complex singularities of fluids on log-lattices
Quentin Pikeroen, Amaury Barral, Guillaume Costa +3
In 1981, Frisch and Morf [1] postulated the existence of complex singularities in solutions of Navier-Stokes equations. Present progress on this conjecture is hindered by the compu…
The algebraic and geometric classification of antiassociative algebras
Renato Fehlberg Júnior, Ivan Kaygorodov, Crislaine Kuster
This paper is devoted to the complete algebraic and geometric classification of complex 4 and 5-dimensional antiassociative algebras. In particular, we proved that the variety of c…
Normal form of bimeromorphically contractible holomorphic Lagrangian submanifolds
Ekaterina Amerik, Misha Verbitsky
Let be a holomorphically symplectic complex manifold, not necessarily compact or quasiprojective, and a compact Lagrangian submanifold. We construct a deformation…
A Hodge filtration on chiral homology and Poisson homology of associated schemes
Jethro van Ekeren, Reimundo Heluani
We introduce filtrations in chiral homology complexes of smooth elliptic curves, exploiting the mixed Hodge structure on cohomology groups of configuration spaces. We use these to…
Geometry and arithmetic of semi-arithmetic Fuchsian groups
Mikhail Belolipetsky, Gregory Cosac, Cayo Dória +1
Semi-arithmetic Fuchsian groups is a wide class of discrete groups of isometries of the hyperbolic plane which includes arithmetic Fuchsian groups, hyperbolic triangle groups, grou…
From Lagrangian Products to Toric Domains via the Toda Lattice
Yaron Ostrover, Vinicius G. B. Ramos, Daniele Sepe
In this paper we use the periodic Toda lattice to show that certain Lagrangian product configurations in the classical phase space are symplectically equivalent to toric domains. I…