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arXiv · 1112.5874

Open Book Foliations

Tetsuya Ito·Keiko Kawamuro
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Abstract

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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Tetsuya Ito, Keiko Kawamuro. 2013-10-30. Open Book Foliations. https://doi.org/10.2140/gt.2014.18.1581

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