4 papers
Hamiltonian torus actions and the unimodality of odd Betti numbers
Nicholas Lindsay
This paper is dedicated to the question: Is the sequence of odd Betti numbers of a closed symplectic manifold with a non-trivial Hamiltonian torus action unimodal? Recently, there…
Periodic symplectic and Hamiltonian diffeomorphisms on irrational ruled surfaces
Nicholas Lindsay, Weiyi Zhang
We investigate when finite-order Hamiltonian diffeomorphisms extend to Hamiltonian circle actions, probing the transition from discrete to continuous symmetry in symplectic topolog…
Cohomological localization for Hamiltonian -actions and symmetries of complete intersections
Nicholas Lindsay
To begin the paper we revisit a cohomological localization result of Jones-Rawnsley which was subsequently improved by Farber, further generalizing the result. We then proceed to i…
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…