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Open Book Foliations

We study open book foliations on surfaces in 3-manifolds, and give applications to contact geometry of dimension 3. We prove a braid-theoretic formula of the self-linking number of transverse links, which reveals an unexpected link to the Johnson-Morita homomorphism in mapping class group theory. We also give an alternative combinatorial proof to the Bennequin-Eliashberg inequality.

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Open Book Foliations5 visible / 5 total nodes / 5 links
Co-authorshipAuthorshipAuthorshipTopic signalTopic signalWOpen Book Foliationspreprint / 2013ATetsuya ItoResearcherAKeiko KawamuroResearcherTmath.GT2393 worksTmath.SG870 works
PaperSignal 104 links

Open Book Foliations

preprint / 2013

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