Volume 17, issue 6 (2017)

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The unstabilized canonical Heegaard splitting of a mapping torus

Yanqing Zou

Algebraic & Geometric Topology 17 (2017) 3435–3448
Bibliography
1 D Bachman, S Schleimer, Surface bundles versus Heegaard splittings, Comm. Anal. Geom. 13 (2005) 903 MR2216145
2 I Biringer, J Souto, Ranks of mapping tori via the curve complex, J. Reine Angew. Math. (2016)
3 A J Casson, S A Bleiler, Automorphisms of surfaces after Nielsen and Thurston, 9, Cambridge Univ. Press (1988) MR964685
4 B Farb, D Margalit, A primer on mapping class groups, 49, Princeton Univ. Press (2012) MR2850125
5 W J Harvey, Boundary structure of the modular group, from: "Riemann surfaces and related topics : Proceedings of the 1978 Stony Brook Conference" (editors I Kra, B Maskit), Ann. of Math. Stud. 97, Princeton Univ. Press (1981) 245 MR624817
6 H A Masur, Y N Minsky, Geometry of the complex of curves, I : Hyperbolicity, Invent. Math. 138 (1999) 103 MR1714338
7 H A Masur, Y N Minsky, Geometry of the complex of curves, II : Hierarchical structure, Geom. Funct. Anal. 10 (2000) 902 MR1791145
8 M Scharlemann, A Thompson, Heegaard splittings of (surface) ×I are standard, Math. Ann. 295 (1993) 549 MR1204837
9 J Schultens, The classification of Heegaard splittings for (compact orientable surface) ×S1, Proc. London Math. Soc. 67 (1993) 425 MR1226608
10 J Souto, The rank of the fundamental group of certain hyperbolic 3–manifolds fibering over the circle, from: "The Zieschang Gedenkschrift" (editors M Boileau, M Scharlemann, R Weidmann), Geom. Topol. Monogr. 14, Geom. Topol. Publ. (2008) 505 MR2484715
11 W P Thurston, Hyperbolic structures on 3–manifolds, II : Surface groups and 3–manifolds which fiber over the circle, preprint (1998) arXiv:math/9801045
12 Y Zou, K Du, Q Guo, R Qiu, Unstabilized self-amalgamation of a Heegaard splitting, Topology Appl. 160 (2013) 406 MR3003339
13 Y Zou, X Liu, Bilateral self-amalgamation of a Heegaard splitting and Hempel distance, Sci. China Math. 58 (2015) 1499 MR3353986