An integer optimization problem for non-Hamiltonian periodic flows [article]

Álvaro Pelayo, Silvia Sabatini
2013 arXiv   pre-print
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.
arXiv:1307.6766v1 fatcat:6tyoapk4k5apfe7zko7qsui3uy