21 citations · 50 across the 12 of their papers we have counts for
16 papers
Generalizing the Mukai Conjecture to the symplectic category and the Kostant game
Alexander Caviedes Castro, Milena Pabiniak, Silvia Sabatini
In this paper we pose the question of whether the (generalized) Mukai inequalities hold for compact, positive monotone symplectic manifolds. We first provide a method that enables…
Symplectic cohomological rigidity via toric degnerations
Milena Pabiniak, Susan Tolman
In this paper we study whether symplectic toric manifolds are symplectically cohomologically rigid. Here we say that symplectic cohomological rigidity holds for some family of symp…
Toric degenerations in symplectic geometry
Milena Pabiniak
A toric degeneration in algebraic geometry is a process where a given projective variety is being degenerated into a toric one. Then one can obtain information about the original v…
Givental's non-linear Maslov index on lens spaces
Gustavo Granja, Yael Karshon, Milena Pabiniak +1
Givental's non-linear Maslov index, constructed in 1990, is a quasimorphism on the universal cover of the identity component of the contactomorphism group of real projective space.…
Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits
Xin Fang, Peter Littelmann, Milena Pabiniak
We give a uniform proof for the conjectured Gromov width of coadjoint orbits of all compact connected simple Lie groups, by analyzing simplices in Newton-Okounkov bodies.
The Gromov width of coadjoint orbits of the symplectic group
Iva Halacheva, Milena Pabiniak
We prove that the Gromov width of coadjoint orbits of the symplectic group is at least equal to the upper bound known from the works of Zoghi and Caviedes. This establishes the act…