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Broken Lefschetz fibrations and smooth structures on 4–manifolds

Refik İnanç Baykur

Geometry & Topology Monographs 18 (2012) 9–34

DOI: 10.2140/gtm.2012.18.9

Bibliography
1 S Akbulut, Ç Karakurt, Every 4–manifold is BLF, J. Gökova Geom. Topol. GGT 2 (2008) 83–106 MR2466002
2 D Auroux, S K Donaldson, L Katzarkov, Singular Lefschetz pencils, Geom. Topol. 9 (2005) 1043–1114 MR2140998
3 R I Baykur, Symplectic structures, Lefschetz fibrations and their generalizations on smooth four-manifolds, PhD thesis, Michigan State University (2007) MR2710849
4 R İ Baykur, Existence of broken Lefschetz fibrations, Int. Math. Res. Not. 2008 (2008) 15 MR2439543
5 R İ Baykur, Handlebody argument for modifying achiral singularities, Geom. Topol. 13 (2009) 312–317 MR2469519 Appendix to [23]
6 R İ Baykur, Topology of broken Lefschetz fibrations and near-symplectic four-manifolds, Pacific J. Math. 240 (2009) 201–230 MR2485463
7 R İ Baykur, S Kamada, Classification of broken Lefschetz fibrations with small fiber genera arXiv:1010.5814
8 S Behrens, On 4–manifolds, folds and cusps, preprint
9 K L Choi, Constructing a broken Lefschetz fibration of S4 with a spun or twist-spun torus knot fiber arXiv:1107.1822
10 S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279–315 MR710056
11 R Fintushel, R J Stern, Knots, links, and 4–manifolds, Invent. Math. 134 (1998) 363–400 MR1650308
12 R Fintushel, R J Stern, Families of simply connected 4–manifolds with the same Seiberg–Witten invariants, Topology 43 (2004) 1449–1467 MR2081432
13 M H Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982) 357–453 MR679066
14 D T Gay, R Kirby, Constructing Lefschetz-type fibrations on four-manifolds, Geom. Topol. 11 (2007) 2075–2115 MR2350472
15 D T Gay, R Kirby, Indefinite Morse 2–functions; broken fibrations and generalizations arXiv:1102.0750
16 R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, Graduate Studies in Mathematics 20, American Mathematical Society (1999) MR1707327
17 K Hayano, On genus-1 simplified broken Lefschetz fibrations, Algebr. Geom. Topol. 11 (2011) 1267–1322 MR2801419
18 K Hayano, A note on sections of broken Lefschetz fibrations arXiv:1104.1037
19 K Hayano, M Sato, Four-manifolds admitting hyperelliptic broken Lefschetz fibrations arXiv:1110.0161
20 K Hayano, M Sato, A signature formula for hyperelliptic broken Lefschetz fibrations arXiv:1110.5286
21 M Korkmaz, Lefschetz fibrations and an invariant of finitely presented groups, Int. Math. Res. Not. 2009 (2009) 1547–1572 MR2500970
22 D Kotschick, Four-manifold invariants of finitely presentable groups, from: "Topology, geometry and field theory", World Sci. Publ., River Edge, NJ (1994) 89–99 MR1312175
23 Y Lekili, Wrinkled fibrations on near-symplectic manifolds, Geom. Topol. 13 (2009) 277–318 MR2469519 Appendix B by R İnanç Baykur
24 H I Levine, Blowing up singularities, from: "Proceedings of Liverpool Singularities Symposium, II (1969/1970)", Lecture Notes in Math. 209, Springer (1971) 90–103 MR0334272
25 T J Li, A Liu, Symplectic structure on ruled surfaces and a generalized adjunction formula, Math. Res. Lett. 2 (1995) 453–471 MR1355707
26 J W Morgan, Z Szabó, C H Taubes, A product formula for the Seiberg–Witten invariants and the generalized Thom conjecture, J. Differential Geom. 44 (1996) 706–788 MR1438191
27 T Perutz, Lagrangian matching invariants for fibred four-manifolds. I, Geom. Topol. 11 (2007) 759–828 MR2302502
28 O Saeki, Elimination of definite fold, Kyushu J. Math. 60 (2006) 363–382 MR2268242
29 J Williams, The h–principle for broken Lefschetz fibrations, Geom. Topol. 14 (2010) 1015–1061 MR2629899