Volume 10, issue 2 (2010)

 Recent Issues
 The Journal About the Journal Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Subscriptions Author Index To Appear Contacts ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Triple point numbers of surface-links and symmetric quandle cocycle invariants

Kanako Oshiro

Algebraic & Geometric Topology 10 (2010) 853–865
Abstract

For any positive integer $n$, we give a 2–component surface-link $F={F}_{1}\cup {F}_{2}$ such that ${F}_{1}$ is orientable, ${F}_{2}$ is non-orientable and the triple point number of $F$ is equal to $2n$. To give lower bounds of the triple point numbers, we use symmetric quandle cocycle invariants.

Keywords
non-orientable surfaces, surface-links, symmetric quandles, triple point numbers
Mathematical Subject Classification 2000
Primary: 57Q45
Secondary: 18G99, 55N99, 57Q35