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arXiv · 1307.6766

An integer optimization problem for non-Hamiltonian periodic flows

Álvaro Pelayo·Silvia Sabatini
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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.

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Álvaro Pelayo, Silvia Sabatini. 2013-07-25. An integer optimization problem for non-Hamiltonian periodic flows. https://arxiv.org/abs/1307.6766

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