3 papers
math.SG2026
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…
math.SG2025
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…
math.SG2025
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…