Solving the word problem in the singular braid monoid

Author

Ruth Corran

Status

Research Report 99-4
To appear in the Gazette of the Australian Mathematics Society
Date: February 1999

Abstract

Various results of others (Birman, Armand-Ugon and others) showing the relationship between singular links and singular braids are presented. The presentations of Baez and Birman for the singular braid monoids are exhibited, and a solution to the word problem for these monoids is given.

Key phrases

singular braids. singular knots. word problem.

AMS Subject Classification (1991)

Primary: 20M05, 20F36
Secondary: 57M25

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Sydney Mathematics and Statistics