Volume 17, issue 3 (2017)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 22, 1 issue

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
Positive factorizations of mapping classes

R İnanç Baykur, Naoyuki Monden and Jeremy Van Horn-Morris

Algebraic & Geometric Topology 17 (2017) 1527–1555
Bibliography
1 S Akbulut, B Ozbagci, Lefschetz fibrations on compact Stein surfaces, Geom. Topol. 5 (2001) 319 MR1825664
2 S Bauer, Almost complex 4–manifolds with vanishing first Chern class, J. Differential Geom. 79 (2008) 25 MR2414748
3 R İ Baykur, K Hayano, Multisections of Lefschetz fibrations and topology of symplectic 4–manifolds, Geom. Topol. 20 (2016) 2335 MR3548468
4 R İ Baykur, K Hayano, N Monden, Unchaining surgery and symplectic 4–manifolds,
5 R İ Baykur, M Korkmaz, N Monden, Sections of surface bundles and Lefschetz fibrations, Trans. Amer. Math. Soc. 365 (2013) 5999 MR3091273
6 R İ Baykur, J Van Horn-Morris, Families of contact 3–manifolds with arbitrarily large Stein fillings, J. Differential Geom. 101 (2015) 423 MR3415768
7 R İ Baykur, J Van Horn-Morris, Topological complexity of symplectic 4–manifolds and Stein fillings, J. Symplectic Geom. 14 (2016) 171 MR3523254
8 E Dalyan, M Korkmaz, M Pamuk, Arbitrarily long factorizations in mapping class groups, Int. Math. Res. Not. 2015 (2015) 9400 MR3431595
9 S K Donaldson, Lefschetz pencils on symplectic manifolds, J. Differential Geom. 53 (1999) 205 MR1802722
10 E Giroux, Géométrie de contact : de la dimension trois vers les dimensions supérieures, from: "Proceedings of the International Congress of Mathematicians, II" (editor T Li), Higher Ed. Press (2002) 405 MR1957051
11 K Honda, W H Kazez, G Matić, Right-veering diffeomorphisms of compact surfaces with boundary, Invent. Math. 169 (2007) 427 MR2318562
12 A Kaloti, Stein fillings of planar open books, preprint (2013) arXiv:1311.0208
13 T J Li, The Kodaira dimension of symplectic 4–manifolds, 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) 249 MR2249257
14 T J Li, Quaternionic bundles and Betti numbers of symplectic 4–manifolds with Kodaira dimension zero, Int. Math. Res. Not. 2006 (2006) MR2264722
15 T J Li, Symplectic 4–manifolds with Kodaira dimension zero, J. Differential Geom. 74 (2006) 321 MR2259057
16 T J Li, A Liu, Symplectic structure on ruled surfaces and a generalized adjunction formula, Math. Res. Lett. 2 (1995) 453 MR1355707
17 A Loi, R Piergallini, Compact Stein surfaces with boundary as branched covers of B4, Invent. Math. 143 (2001) 325 MR1835390
18 D Margalit, J McCammond, Geometric presentations for the pure braid group, J. Knot Theory Ramifications 18 (2009) 1 MR2490001
19 O Plamenevskaya, On Legendrian surgeries between lens spaces, J. Symplectic Geom. 10 (2012) 165 MR2926993
20 O Plamenevskaya, J Van Horn-Morris, Planar open books, monodromy factorizations and symplectic fillings, Geom. Topol. 14 (2010) 2077 MR2740642
21 A Putman, An infinite presentation of the Torelli group, Geom. Funct. Anal. 19 (2009) 591 MR2545251
22 M H Saitō, K I Sakakibara, On Mordell–Weil lattices of higher genus fibrations on rational surfaces, J. Math. Kyoto Univ. 34 (1994) 859 MR1311624
23 Y Sato, Canonical classes and the geography of nonminimal Lefschetz fibrations over S2, Pacific J. Math. 262 (2013) 191 MR3069059
24 H Short, B Wiest, Orderings of mapping class groups after Thurston, Enseign. Math. 46 (2000) 279 MR1805402
25 I Smith, Geometric monodromy and the hyperbolic disc, Q. J. Math. 52 (2001) 217 MR1838364
26 I Smith, Lefschetz pencils and divisors in moduli space, Geom. Topol. 5 (2001) 579 MR1833754
27 A I Stipsicz, Sections of Lefschetz fibrations and Stein fillings, Turkish J. Math. 25 (2001) 97 MR1829081
28 A I Stipsicz, Singular fibers in Lefschetz fibrations on manifolds with b2+ = 1, Topology Appl. 117 (2002) 9 MR1874001
29 A I Stipsicz, On the geography of Stein fillings of certain 3–manifolds, Michigan Math. J. 51 (2003) 327 MR1992949
30 S Tanaka, On sections of hyperelliptic Lefschetz fibrations, Algebr. Geom. Topol. 12 (2012) 2259 MR3020206
31 C Wendl, Strongly fillable contact manifolds and J–holomorphic foliations, Duke Math. J. 151 (2010) 337 MR2605865