Triple Linking of Surfaces in 4-Space

J. Scott Carter; Seiichi Kamada; Masahico Saito; Shin Satoh

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Triple Linking of Surfaces in 4-Space

J. Scott Carter·Seiichi Kamada·Masahico Saito·Shin Satoh

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Abstract

Triple linking numbers were defined for 3-component oriented surface-links in 4-space using signed triple points on projections in 3-space. In this paper we give an algebraic formulation using intersections of homology classes (or cup products on cohomology groups). We prove that spherical links have trivial triple linking numbers and that triple linking numbers are link homology invariants.

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J. Scott Carter, Seiichi Kamada, Masahico Saito, Shin Satoh. 2000-07-24. Triple Linking of Surfaces in 4-Space. https://arxiv.org/abs/math/0007141

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