20 citations · 72 across the 15 of their papers we have counts for
12 papers · 1 filter
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…
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…
Faithful Semitoric Systems
Sonja Hohloch, Silvia Sabatini, Daniele Sepe +1
This paper consists of two parts. The first provides a review of the basic properties of integrable and almost-toric systems, with a particular emphasis on the integral affine stru…