An integer optimization problem for non-Hamiltonian periodic flows
Symplectic Geometry
2013-07-26 v1
Abstract
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.
Cite
@article{arxiv.1307.6766,
title = {An integer optimization problem for non-Hamiltonian periodic flows},
author = {Álvaro Pelayo and Silvia Sabatini},
journal= {arXiv preprint arXiv:1307.6766},
year = {2013}
}
Comments
15 pages