A presentation of the mapping class groups

Mathematical Research Letters

Volumn 4, Issue 5, 1997, Pages 735-739

  Luo, Feng ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031541659     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.1997.v4.n5.a11     Document Type: Article

References (9)

1. [Bi] J. Birman, Braids, links, and mapping class groups, Ann. of Math. Stud. 82, Princeton Univ. Press, Princeton, NJ, 1975.
2. [De] M. Dehn, Papers on group theory and topology (J. Stillwell, eds.), Springer-Verlag, Berlin-New York, 1987.
3. [Ge] S. Gervais, Presentation and central extensions of mapping class groups, Trans. Amer. Math. Soc. 348 (1996), 3097-3132.
4. [Har] J. Harer, The second homology group of the mapping class group of an orientable surface, Invent. Math. 72 (1983), 221-239.
5. [HT] A. Hatcher and W. Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (1980), 221-237.
6. [Jo] D. Johnson, Homeomorphisms of a surface which acts trivially on homology, Proc. of Amer. Math. Soc. 75 (1979), 119-125.
7. [Li] R. Lickorish, A representation of oriented combinatorial 3-manifolds, Ann. of Math. 72 (1962), 531-540.
8. [Lu] F. Luo, Simple loops on surfaces and their intersection numbers, preprint.
9. [Wa] B. Wajnryb, A simple presentation for the mapping class group of an orientable surface, Israel J. Math. 45 (1983), 157-174.