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The Two-Eigenvalue Problem and Density¶of Jones Representation of Braid Groups

✍ Scribed by Michael H. Freedman; Michael J. Larsen; Zhenghan Wang


Publisher
Springer
Year
2002
Tongue
English
Weight
183 KB
Volume
228
Category
Article
ISSN
0010-3616

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On complexity of the word problem in bra
✍ Hessam Hamidi-Tehrani 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 350 KB

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