Volume 10, issue 2 (2010)

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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 = 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 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