publication . Article . 2003

GENERALIZED KNOT COMPLEMENTS AND SOME ASPHERICAL RIBBON DISC COMPLEMENTS

JENS HARLANDER; STEPHAN ROSEBROCK;
Open Access
  • Published: 03 Nov 2003 Journal: Journal of Knot Theory and Its Ramifications, volume 12, pages 947-962 (issn: 0218-2165, eissn: 1793-6527, Copyright policy)
  • Publisher: World Scientific Pub Co Pte Lt
Abstract
<jats:p>We generalize some aspects of standard knot-theory to all ribbon-disc complements. We study asphericity of the complement of properly embedded links in certain contractible singular 3-manifolds that should be thought off as replacements of the 3-ball in the classical setting. We apply our results to show asphericity of 2-complexes modelled on labelled oriented graphs that correspond to alternating prime projections on some surface.</jats:p>
Subjects
arXiv: Mathematics::Geometric Topology
free text keywords: Algebra and Number Theory, Graph, Topology, Prime (order theory), Contractible space, Combinatorics, Mathematics, Ribbon, Knot (unit)
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