ON THE MAPPING CLASS GROUP OF A HEEGAARD SPLITTING
Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 93-101

Voir la notice de l'article provenant de la source Cambridge University Press

For the mapping class group of 3-manifold with respect to a Heegaard splitting, a simplicial complex is constructed such that its group of automorphisms is identified with the mapping class group.
DOI : 10.1017/S0017089513000104
Mots-clés : 57N10, 57N35
CHARITOS, CHARALAMPOS; PAPADOPERAKIS, IOANNIS; TSAPOGAS, GEORGIOS. ON THE MAPPING CLASS GROUP OF A HEEGAARD SPLITTING. Glasgow mathematical journal, Tome 56 (2014) no. 1, pp. 93-101. doi: 10.1017/S0017089513000104
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[1] 1.Akbas, E., A presentation for the automorphisms of the 3-sphere that preserve a genus two Heegaard splitting, Pacific J. Math. 236 (2) (2008), 201–222. Google Scholar | DOI

[2] 2.Charitos, Ch., Papadoperakis, I. and Tsapogas, G., A complex of incompressible surfaces and the mapping class group, Monatshefte für Mathematic, 167 (3–4) (2012), 405–415. doi:10.1007/s00605-012-0379-8. Google Scholar | DOI

[3] 3.Cho, S., Homeomorphisms of the 3-sphere that preserve a Heegaard splitting of genus two, Proc. Amer. Math. Soc. 136 (3) (2008), 1113–1123. Google Scholar | DOI

[4] 4.Fomenko, A. T. and Matveev, S. V., Algorithmic and computer methods in 3-manifolds (Kluwer, Amsterdam, Netherlands, 1997). Google Scholar | DOI

[5] 5.Goeritz, L., Die Abbildungen der Brezelfläche und der Volbrezel vom Gesschlect 2, Abh. Math. Sem. Univ. Hamburg 9 (1933), 244–259. Google Scholar

[6] 6.Harvey, W., Boundary structure of the modular group, Riemann surfaces and related topics, in Proceedings of the 1978 Stony Brook conference, State University New York, Stony Brook, NY (Princeton University Press, Princeton, NJ, 1978) (Ann. Math. Stud. (1981), 245–251). Google Scholar

[7] 7.Hatcher, A., Lochak, P. and Schneps, L., On the Teichmüller tower of mapping class groups, J. Reine Angew. Math. 521 (2000), 1–24. Google Scholar | DOI

[8] 8.Hatcher, A. and Thurston, W., A presentation for the mapping class group of a closed orientable surface, Topology 19 (3) (1980), 221–237. Google Scholar | DOI

[9] 9.Margalit, D., Automorphisms of the pants complex, Duke Math. J. 121 (3) (2004), 457–479. Google Scholar

[10] 10.Masur, H. and Minsky, Y. N., Quasiconvexity in the curve complex, in The tradition of Ahlfors and Bers, III, Contemporaty Mathematics, vol. 355 (American Mathematical Society, Providence, RI, 2004), 309–320. Google Scholar

[11] 11.Mccullough, D., Virtually geometrically finite mapping class groups of 3-manifolds, J. Differ. Geom. 33 (1) (1991), 1–65. Google Scholar

[12] 12.Scharlemann, M., Automorphisms of the 3-sphere that preserve a genus two Heegaard splitting, Bol. Soc. Mat. Mexicana 10 (3) (2004), 503–514 (special issue). Google Scholar

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