arXiv:math/0511152 [math.GT]AbstractReferencesReviewsResources
Seifert surfaces in open books, and a new coding algorithm for links
Rei Furihata, Mikami Hirasawa, Tsuyoshi Kobayashi
Published 2005-11-07Version 1
We introduce a new standard form of a Seifert surface $F$. In that standard form, $F$ is obtained by successively plumbing flat annuli to a disk $D$, where the gluing regions are all in $D$. We show that any link has a Seifert surface in the standard form, and thereby present a new way of coding a link. We present an algorithm to read the code directly from a braid presentation.
Comments: 10 pages
DOI: 10.1112/blms/bdn020
Categories: math.GT
Subjects: 57M25
Keywords: seifert surface, open books, coding algorithm, standard form, successively plumbing flat annuli
Tags: journal article
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