English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We investigate nicely embedded H--holomorphic maps into stable Hamiltonianthree--manifolds. In particular we prove that such maps locally foliate andsatisfy a no--first--intersection property. Using the compactness results ofarXiv:0904.1603 we show that connected components of the space of such maps canbe compactified if they contain a global surface of section. As an applicationwe prove that any contact structure on a 3--manifold admits and H--holomorphicopen book decomposition. This work is motivated by the program laid out byAbbas, Cieliebak and Hofer to give a proof to the Weinstein conjecture usingholomorphic curves. The results in this paper, with the exception of thecompactness statement, have been independently obtained by C. Abbas inarXiv:0907.3512.

Embedded H-holomorphic maps and open book decompositions