Stable Hamiltonian structures in dimension three are supported by open books

Details Stable Hamiltonian structures in dimension three are supported by open books Stable Hamiltonian structures in dimension three are supported by open books

2010-12-17

arxiv.org/abs/1012.3854v1

Mathematics

Symplectic Geometry

30 pages, 6 figures

Scientific paper

We prove that every stable Hamiltonian structure on a closed oriented
three-manifold is stably homotopic to one which is supported (with suitable
signs) by an open book.

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