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 = F₁ ∪ F₂ such that F₁ is orientable, F₂ 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

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