Triple point numbers of surface-links and symmetric quandle cocycle invariants

Oshiro, Kanako

doi:10.2140/agt.2010.10.853

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Triple point numbers of surface-links and symmetric quandle cocycle invariants

Kanako Oshiro

Algebraic & Geometric Topology 10 (2010) 853–865

DOI: 10.2140/agt.2010.10.853

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 $2 n$ . 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

References

Publication

Received: 22 April 2009

Revised: 21 November 2009

Accepted: 3 January 2010

Published: 7 April 2010

Authors

Kanako Oshiro
Department of Mathematics Hiroshima University Higashi-Hiroshima Hiroshima 739-8526 Japan

Volume 10, issue 2 (2010)