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math.SG2022
Classification of Lagrangian fibrations
Ivan Kozlov
This paper classifies Lagrangian fibrations over surfaces with compact total spaces up to fiberwise symplectomorphism identical on the base.
math.DG2022
Liouville classification of integrable geodesic flows on a projective plane in a potential field
E. I. Antonov, I. K. Kozlov
A Liouville classification of a natural Hamiltonian system on the projective plane with a rotation metric and a linear integral is obtained. All Fomenko--Zieschang invariants (i.e.…