Journal article
Operations on open book foliations
Algebraic & geometric topology, Vol.14(5), pp.2983-3020
09/17/2013
DOI: 10.2140/agt.2014.14.2983
Abstract
Algebr. Geom. Topol. 14 (2014) 2983-3020 We study b-arc foliation change and exchange move of open book foliations which generalize the corresponding operations in braid foliation theory. We also define a bypass move as an analogue of Honda's bypass attachment operation. As applications, we study how open book foliations change under a stabilization of the open book. We also generalize Birman-Menasco's split/composite braid theorem: Closed braid representatives of a split (resp. composite) link in a certain open book can be converted to a split (resp. composite) closed braid by applying exchange moves finitely many times.
Details
- Title: Subtitle
- Operations on open book foliations
- Creators
- Tetsuya ItoKeiko Kawamuro
- Resource Type
- Journal article
- Publication Details
- Algebraic & geometric topology, Vol.14(5), pp.2983-3020
- DOI
- 10.2140/agt.2014.14.2983
- ISSN
- 1472-2747
- eISSN
- 1472-2739
- Language
- English
- Date published
- 09/17/2013
- Academic Unit
- Mathematics
- Record Identifier
- 9983985912202771
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