Corpus ID: 12811312

Embedded H-holomorphic maps and open book decompositions

  title={Embedded H-holomorphic maps and open book decompositions},
  author={Jens von Bergmann},
  • Jens von Bergmann
  • Published 2009
  • Mathematics
  • We investigate nicely embedded H--holomorphic maps into stable Hamiltonian three--manifolds. In particular we prove that such maps locally foliate and satisfy a no--first--intersection property. Using the compactness results of arXiv:0904.1603 we show that connected components of the space of such maps can be compactified if they contain a global surface of section. As an application we prove that any contact structure on a 3--manifold admits and H--holomorphic open book decomposition. This… CONTINUE READING

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