English

Triple Linking of Surfaces in 4-Space

Geometric Topology 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0007141,
  title  = {Triple Linking of Surfaces in 4-Space},
  author = {J. Scott Carter and Seiichi Kamada and Masahico Saito and Shin Satoh},
  journal= {arXiv preprint arXiv:math/0007141},
  year   = {2007}
}

Comments

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

R2 v1 2026-07-22T16:33:51.362Z