5 citations · 10 across the 5 of their papers we have counts for
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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…
Hofer-Zehnder capacity and Bruhat graph
Alexander Caviedes Castro
We find bounds for the Hofer-Zehnder capacity of coadjoint orbits of compact Lie groups with respect to the Kostant--Kirillov--Souriau symplectic form in terms of the combinatorics…
Calabi quasimorphisms for monotone coadjoint orbits
Alexander Caviedes Castro
We show the existence of Calabi quasimorphisms on the universal covering of the group of Hamiltonian diffeomorphisms of a monotone coadjoint orbit of a compact Lie group. We show t…
Upper bound for the Gromov width of coadjoint orbits of compact Lie groups
Alexander Caviedes Castro
We find an upper bound for the Gromov width of coadjoint orbits of compact Lie groups with respect to the Kirillov Kostant Souriau form by computing certain Gromov Witten invariant…
Upper bound for the Gromov width of coadjoint orbits of type A
Alexander Caviedes Castro
We find an upper bound for the Gromov width of coadjoint orbits of U(n) with respect to the Kirillov-Kostant-Souriau symplectic form by computing certain Gromov-Witten invariants.…