On braid words and irreflexivity
โ Scribed by David M. Larue
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 365 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0002-5240
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We prove that the word problem in the mapping class group of the once-punctured surface of genus g has complexity O(|w| 2 g) for |w| log(g) where |w| is the length of the word in a (standard) set of generators. The corresponding bound in the case of the closed surface is O(|w| 2 g 2 ). We also carry
Braided monoidal categories have important applications in knot theory, algebraic quantum field theory, and the theory of quantum groups and Hopf algebras. We will construct a new class of braided monoidal categories. Typical examples of braided monoidal categories are the category of modules over a
A new presentation of the n-string braid group B n is studied. Using it, a new solution to the word problem in B n is obtained which retains most of the desirable features of the Garside Thurston solution, and at the same time makes possible certain computational improvements. We also give a related