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math.SGDec 17, 2010
4
citations (OpenAlex)
authors
  • Kai Cieliebak
  • Evgeny Volkov
institutions
  • University of Augsburg
arXiv abstractPDF
paper

Stable Hamiltonian structures in dimension three are supported by open books

arXiv:1012.3854 · doi:10.1112/jtopol/jtt044

Abstract

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.

30 pages, 6 figures

References in corpus (1)

  • The Weinstein conjecture for stable Hamiltonian structures

Cited by in corpus (1)

  • Definition of the cord algebra of knots using Morse Theory
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