Work

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

Year: 2008

Type: article

Abstract: We show that for any link L, there exists a Seifert surface for L that is obtained by successively plumbing flat annuli to a disk D, where the gluing regions are all in D. This furnishes a new way of coding links. We also present an algorithm to read the code directly from a braid presentation.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms/bdn020

Authors: Rei Furihata, Mikami Hirasawa, Tsuyoshi Kobayashi

Institutions: Nagoya Institute of Technology, Nara Women's University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science

Award: Geometric structures of 3-manifolds and various related structures