An integer optimization problem for non-Hamiltonian periodic flows

Let C be the class of compact 2n-dimensional symplectic manifolds M for which the first or (n-1) Chern class vanish. We point out an integer optimization problem to find a lower bound B(n) on the number of equilibrium points of non-Hamiltonian symplectic periodic flows on manifolds M in C. As a consequence, we confirm in dimensions 2n in {8,10,12,14,18,20, 22} a conjecture for unitary manifolds made by Kosniowski in 1979 for the subclass C.

Article: 
An integer optimization problem for non-Hamiltonian periodic flows
Authors: 
Álvaro Pelayo, Silvia Sabatini
Journal: 
Preprint Arxiv
Year: 
2013
URL: 
http://arxiv.org/abs/1307.6766