Algebraic & Geometric Topology Volume 18, issue 3 (2018)

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ISSN (electronic): 1472-2739

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Compact Stein surfaces as branched covers with same branch sets

Takahiro Oba

Algebraic & Geometric Topology 18 (2018) 1733–1751

DOI: 10.2140/agt.2018.18.1733

Bibliography

1	S Akbulut, B Ozbagci, Lefschetz fibrations on compact Stein surfaces, Geom. Topol. 5 (2001) 319 MR1825664
2	N Apostolakis, R Piergallini, D Zuddas, Lefschetz fibrations over the disc, Proc. Lond. Math. Soc. 107 (2013) 340 MR3092341
3	R İ Baykur, J Van Horn-Morris, Families of contact 3–manifolds with arbitrarily large Stein fillings, J. Differential Geom. 101 (2015) 423 MR3415768
4	R İ Baykur, J Van Horn-Morris, Topological complexity of symplectic 4–manifolds and Stein fillings, J. Symplectic Geom. 14 (2016) 171 MR3523254
5	D Bennequin, Entrelacements et équations de Pfaff, from: "Third Schnepfenried geometry conference, I" (editors D Bernard, G Reeb), Astérisque 107, Soc. Math. France (1983) 87 MR753131
6	M Boileau, S Orevkov, Quasi-positivité d’une courbe analytique dans une boule pseudo-convexe, C. R. Acad. Sci. Paris Sér. I Math. 332 (2001) 825 MR1836094
7	O Chisini, Sulla identita birazionale delle funzioni algebriche di due variabili dotate di una medesima curva di diramazione, Ist. Lombardo Sci. Lett. Cl. Sci. Mat. Nat. Rend. 8 (1944) 339 MR0019351
8	E Dalyan, M Korkmaz, M Pamuk, Arbitrarily long factorizations in mapping class groups, Int. Math. Res. Not. 2015 (2015) 9400 MR3431595
9	Y Eliashberg, Topological characterization of Stein manifolds of dimension > 2, Internat. J. Math. 1 (1990) 29 MR1044658
10	J B Etnyre, Lectures on open book decompositions and contact structures, from: "Floer homology, gauge theory, and low-dimensional topology" (editors D A Ellwood, P S Ozsváth, A I Stipsicz, Z Szabó), Clay Math. Proc. 5, Amer. Math. Soc. (2006) 103 MR2249250
11	J B Etnyre, B Ozbagci, Invariants of contact structures from open books, Trans. Amer. Math. Soc. 360 (2008) 3133 MR2379791
12	J B Etnyre, J Van Horn-Morris, Monoids in the mapping class group, from: "Interactions between low-dimensional topology and mapping class groups" (editors R I Baykur, J Etnyre, U Hamenstädt), Geom. Topol. Monogr. 19, Geom. Topol. Publ. (2015) 319 MR3609913
13	R H Fox, A quick trip through knot theory, from: "Topology of 3–manifolds and related topics" (editor M K Fort Jr.), Prentice-Hall (1962) 120 MR0140099
14	R E Gompf, Handlebody construction of Stein surfaces, Ann. of Math. 148 (1998) 619 MR1668563
15	R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, 20, Amer. Math. Soc. (1999) MR1707327
16	S Harvey, K Kawamuro, O Plamenevskaya, On transverse knots and branched covers, Int. Math. Res. Not. 2009 (2009) 512 MR2482123
17	S Kamada, A characterization of groups of closed orientable surfaces in 4–space, Topology 33 (1994) 113 MR1259518
18	S Kamada, Braid and knot theory in dimension four, 95, Amer. Math. Soc. (2002) MR1900979
19	V S Kulikov, On Chisini’s conjecture, Izv. Ross. Akad. Nauk Ser. Mat. 63 (1999) 83 MR1748562
20	V S Kulikov, On Chisini’s conjecture, II, Izv. Ross. Akad. Nauk Ser. Mat. 72 (2008) 63 MR2473772
21	A Loi, R Piergallini, Compact Stein surfaces with boundary as branched covers of B⁴, Invent. Math. 143 (2001) 325 MR1835390
22	J M Montesinos-Amilibia, H R Morton, Fibred links from closed braids, Proc. London Math. Soc. 62 (1991) 167 MR1078219
23	B Ozbagci, On the topology of fillings of contact 3–manifolds, from: "Interactions between low-dimensional topology and mapping class groups" (editors R I Baykur, J Etnyre, U Hamenstädt), Geom. Topol. Monogr. 19, Geom. Topol. Publ. (2015) 73 MR3609904
24	B Ozbagci, A I Stipsicz, Contact 3–manifolds with infinitely many Stein fillings, Proc. Amer. Math. Soc. 132 (2004) 1549 MR2053364
25	B Ozbagci, A I Stipsicz, Surgery on contact 3–manifolds and Stein surfaces, 13, Springer (2004) 281 MR2114165
26	L Rudolph, Algebraic functions and closed braids, Topology 22 (1983) 191 MR683760
27	L Rudolph, Braided surfaces and Seifert ribbons for closed braids, Comment. Math. Helv. 58 (1983) 1 MR699004