20 citations · 72 across the 15 of their papers we have counts for
21 papers
Finiteness and boundedness of positive monotone Hamiltonian GKM spaces
Panagiotis Konstantis, Silvia Sabatini, Leopold Zoller
In this paper, we establish three finiteness and boundedness theorems for compact positive monotone symplectic manifolds endowed with special actions, called GKM, which general…
On a symplectic generalization of a Hirzebruch problem
Leonor Godinho, Nicholas Lindsay, Silvia Sabatini
Motivated by a problem of Hirzebruch, we study -dimensional, closed, symplectic manifolds having a Hamiltonian torus action with isolated fixed points and second Betti number eq…
Compact monotone tall complexity one -spaces
Isabelle Charton, Silvia Sabatini, Daniele Sepe
In this paper we study compact monotone tall complexity one -spaces. We use the classification of Karshon and Tolman, and the monotone condition, to prove that any two such spac…
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…
On topological properties of positive complexity one spaces
Silvia Sabatini, Daniele Sepe
Motivated by work of Fine and Panov, and of Lindsay and Panov, we prove that every closed symplectic complexity one space that is positive (e.g. positive monotone) enjoys topologic…