The Casson invariant and the word metric on the Torelli group
| Autor: | Broaddus, Nathan, Farb, Benson, Putman, Andrew |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | C. R. Acad. Sci. Paris, Ser. I 345 (2007) 449--452 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1016/j.crma.2007.09.018 |
| Popis: | We bound the value of the Casson invariant of any integral homology 3-sphere $M$ by a constant times the distance-squared to the identity, measured in any word metric on the Torelli group $\T$, of the element of $\T$ associated to any Heegaard splitting of $M$. We construct examples which show this bound is asymptotically sharp. Comment: 5 pages, minor corrections; to appear in C. R. Math. Acad. Sci. Paris |
| Databáze: | arXiv |
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