5 citations · 10 across the 5 of their papers we have counts for
7 papers
Weyl Groups and the Modified Kostant Game
Alexander Caviedes Castro, Juan Sebastián Cortés-Cruz
This paper presents a generalization of the Kostant game, a combinatorial framework originally for generating positive roots in Lie algebras. By introducing an arbitrary multi-vert…
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…
Rigidity of elliptic genera: from number theory to geometry and back
Kathrin Bringmann, Alexander Caviedes Castro, Silvia Sabatini +1
In this paper we derive topological and number theoretical consequences of the rigidity of elliptic genera, which are special modular forms associated to each compact almost comple…
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.…