Seifert surfaces in open books, and a new coding algorithm for links

Details Seifert surfaces in open books, and a new coding algorithm for links Seifert surfaces in open books, and a new coding algorithm for links

2005-11-07

arxiv.org/abs/math/0511152v1

Mathematics

Geometric Topology

10 pages

Scientific paper

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.

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