Triple Linking of Surfaces in 4-Space

Details Triple Linking of Surfaces in 4-Space Triple Linking of Surfaces in 4-Space

2000-07-24

arxiv.org/abs/math/0007141v1

Mathematics

Geometric Topology

13 Pages; 3 Figures; epsf sty file included in TeX file

Scientific paper

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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