Non-additivity for triple point numbers on the connected sum of surface-knots期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Non-additivity for triple point numbers on the connected sum of surface-knots

Authors:	Shin Satoh

Affiliation:	Graduate School of Science and Technology, Chiba University, Yayoi-cho 1-33, Inage-ku, Chiba, 263-8522, Japan

Abstract:	Any surface-knot in 4-space can be projected into 3-space with a finite number of triple points, and its triple point number, , is defined similarly to the crossing number of a classical knot. By definition, we have ${rm t}(F_1char93 F_2)leq {rm t}(F_1)+{rm t}(F_2)$ for the connected sum. In this paper, we give infinitely many pairs of surface-knots for which this equality does not hold.

Keywords:	Surface-knot connected sum triple point twist-spun knot.

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