Alexander numbering of knotted surface diagrams-Reference-Cited by-同舟云学术

Alexander numbering of knotted surface diagrams

Published:2000-06-07 Issue:12 Volume:128 Page:3761-3771
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Carter J.,Kamada Seiichi,Saito Masahico

Abstract

A generic projection of a knotted oriented surface in 4-space divides 3 3 -space into regions. The number of times (counted with sign) that a path from infinity to a given region intersects the projected surface is called the Alexander numbering of the region. The Alexander numbering is extended to branch and triple points of the projections. A formula that relates these indices is presented.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2000-128-12/S0002-9939-00-05479-4/S0002-9939-00-05479-4.pdf

Reference28 articles.

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