Volume 11, issue 3 (2011)

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On genus–$1$ simplified broken Lefschetz fibrations

Kenta Hayano

Algebraic & Geometric Topology 11 (2011) 1267–1322
Bibliography
1 D Auroux, S K Donaldson, L Katzarkov, Singular Lefschetz pencils, Geom. Topol. 9 (2005) 1043 MR2140998
2 R n Baykur, Topology of broken Lefschetz fibrations and near-symplectic four-manifolds, Pacific J. Math. 240 (2009) 201 MR2485463
3 R n Baykur, S Kamada, Classification of broken Lefschetz fibrations with small fiber genera arXiv:1010.5814
4 S K Donaldson, Lefschetz pencils on symplectic manifolds, J. Differential Geom. 53 (1999) 205 MR1802722
5 R E Gompf, Toward a topological characterization of symplectic manifolds, J. Symplectic Geom. 2 (2004) 177 MR2108373
6 R E Gompf, A I Stipsicz, $4$–manifolds and Kirby calculus, Graduate Studies in Math. 20, Amer. Math. Soc. (1999) MR1707327
7 S Kamada, Y Matsumoto, T Matumoto, K Waki, Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations, J. Math. Soc. Japan 57 (2005) 537 MR2123244
8 A Kas, On the deformation types of regular elliptic surfaces, from: "Complex analysis and algebraic geometry", Iwanami Shoten (1977) 107 MR0569686
9 Y Lekili, Wrinkled fibrations on near-symplectic manifolds, Geom. Topol. 13 (2009) 277 MR2469519
10 W Magnus, A Karrass, D Solitar, Combinatorial group theory. Presentations of groups in terms of generators and relations, Dover (1976) MR0422434
11 Y Matsumoto, Torus fibrations over the $2$–sphere with the simplest singular fibers, J. Math. Soc. Japan 37 (1985) 605 MR806304
12 B Moishezon, Complex surfaces and connected sums of complex projective planes, Lecture Notes in Math. 603, Springer (1977) MR0491730
13 P S Pao, The topological structure of $4$–manifolds with effective torus actions. I, Trans. Amer. Math. Soc. 227 (1977) 279 MR0431231
14 J Williams, The $h$–principle for broken Lefschetz fibrations, Geom. Topol. 14 (2010) 1015 MR2629899