Presentation and central extensions of mapping class groups

Transactions of the American Mathematical Society

Volumn 348, Issue 8, 1996, Pages 3097-3132

  Gervais, Sylvain ^a  

^a UNIVERSITÉ DE NANTES   (France)

Author keywords

Central extensions; Mapping class groups; P1 structure; Presentation

Indexed keywords

EID: 21344445874     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9947-96-01509-7     Document Type: Article

References (17)

1. [A1] M. Atiyah. Topological quantum field theories, Publ. Math. IHES 68, 175-186 (1989). MR 90e:57059
2. [A2] M. Atiyah. On framings of 3-manifolds, Topology 29, 1-7 (1990). MR 91g:57025
3. [B] J. Birman. Braids, Links, and Mapping Class Groups, Annals of Math. Studies 82, Princeton Univ. Press (1975). MR 51:11477; MR 54:13894
4. [BHMV1] C. Blanchet, N. Habegger, G. Masbaum, P. Vogel. Three-manifold invariants derived from the Kauffman bracket, Topology 31, 685-699 (1992). MR 94a:57010
5. [BHMV2] C. Blanchet, N. Habegger, G. Masbaum, P. Vogel. Topological quantum field theories derived from the Kauffman bracket, Topology 34, 883-927 (1995). CMP 96:04
6. [D] M. Dehn. Die Gruppe der Abbildungsklassen, Acta Math. 69, 135-206 (1938).
7. [G] S. Gervais. Etude de certaines extensions centrales du "mapping class group" des surfaces orientables, thèse, Université de Nantes, janv. 1994.
8. [H] J. Harer. The second homology group of the mapping class group of an orientable surface, Invent. Math. 72, 221-239 (1983). MR 84g:57006
9. [Hu] S. Humphries. Generators for the mapping class group, Lecture Notes in Math. 722, Springer, Berlin, 44-47 (1979). MR 80i:57010
10. [H-T] A. Hatcher, W. Thurston. A presentation for the mapping class group of a closed orientable surface, Topology 19, 221-237 (1980). MR 81k:57008
11. [J] D. Johnson. Homeomorphisms of a surface which act trivially on homology, Proc. of Amer. Math. Soc. 75, 119-125 (1979). MR 80h:57008
12. [L1] W.B.R. Lickorish. A finite set of generators for the homeotopy group of a 2-manifold, Proc. Cambridge Philos. Soc. 60, 769-778 (1964). MR 30:1500
13. [L2] W.B.R. Lickorish. On the homeotopy group of a 2-manifold (Corrigendum), Proc. Cambridge Philos. Soc. 62, 679-681 (1966). MR 34:799
14. [M-R] G. Masbaum, J. Roberts. On central extensions of mapping class groups, Math. Annalen. 302, 131-150 (1995). CMP 95:12
15. [S] R. Stong. Notes on cobordism theory, Princeton (1968). MR 40:2108
16. [Sw] R.M. Switzer. Algebraic topology - homotopy and homology, Berlin, Heidelberg, New York, Springer (1975). MR 52:6695
17. [W] B. Wajnryb. A simple presentation for the mapping class group of an orientable surface, Israel Journal of Math. 45, 157-174 (1983). MR 85g:57007