Volume 21, issue 2 (2017)

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

Volume 28
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Existence of Lefschetz fibrations on Stein and Weinstein domains

Emmanuel Giroux and John Pardon

Geometry & Topology 21 (2017) 963–997
Bibliography
1 A Andreotti, E Vesentini, Carleman estimates for the Laplace–Beltrami equation on complex manifolds, Inst. Hautes Études Sci. Publ. Math. 25 (1965) 81 MR0175148
2 D Auroux, Asymptotically holomorphic families of symplectic submanifolds, Geom. Funct. Anal. 7 (1997) 971 MR1487750
3 D Auroux, Symplectic 4–manifolds as branched coverings of CP2, Invent. Math. 139 (2000) 551 MR1738061
4 D Auroux, A remark about Donaldson’s construction of symplectic submanifolds, J. Symplectic Geom. 1 (2002) 647 MR1959060
5 F Bourgeois, T Ekholm, Y Eliashberg, Effect of Legendrian surgery, Geom. Topol. 16 (2012) 301 MR2916289
6 J Cheeger, M Gromov, Chopping Riemannian manifolds, from: "Differential geometry" (editors B Lawson, K Tenenblat), Pitman Monogr. Surveys Pure Appl. Math. 52, Longman Sci. Tech. (1991) 85 MR1173034
7 K Cieliebak, Y Eliashberg, From Stein to Weinstein and back, 59, Amer. Math. Soc. (2012) MR3012475
8 J P Demailly, L2 estimates for the –operator on complex manifolds, lecture notes (1996)
9 S K Donaldson, Yang–Mills invariants of four-manifolds, from: "Geometry of low-dimensional manifolds, I" (editors S K Donaldson, C B Thomas), London Math. Soc. Lecture Note Ser. 150, Cambridge Univ. Press (1990) 5 MR1171888
10 S K Donaldson, Symplectic submanifolds and almost-complex geometry, J. Differential Geom. 44 (1996) 666 MR1438190
11 S K Donaldson, Lefschetz pencils on symplectic manifolds, J. Differential Geom. 53 (1999) 205 MR1802722
12 Y Eliashberg, Topological characterization of Stein manifolds of dimension > 2, Internat. J. Math. 1 (1990) 29 MR1044658
13 Y Eliashberg, N Mishachev, Introduction to the h–principle, 48, Amer. Math. Soc. (2002) MR1909245
14 K O Friedrichs, The identity of weak and strong extensions of differential operators, Trans. Amer. Math. Soc. 55 (1944) 132 MR0009701
15 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
16 L Hörmander, L2 estimates and existence theorems for the  operator, Acta Math. 113 (1965) 89 MR0179443
17 A Ibort, D Martínez-Torres, F Presas, On the construction of contact submanifolds with prescribed topology, J. Differential Geom. 56 (2000) 235 MR1863017
18 J Milnor, On the Betti numbers of real varieties, Proc. Amer. Math. Soc. 15 (1964) 275 MR0161339
19 J P Mohsen, Transversalité quantitative et sous-variétés isotropes, PhD thesis, ENS-Lyon (2001)
20 J P Mohsen, Transversalité quantitative en géométrie symplectique : sous-variétés et hypersurfaces, preprint (2013) arXiv:1307.0837v1
21 P Seidel, A–subalgebras and natural transformations, Homology Homotopy Appl. 10 (2008) 83 MR2426130
22 P Seidel, Fukaya categories and Picard–Lefschetz theory, European Math. Soc. (2008) MR2441780
23 P Seidel, Symplectic homology as Hochschild homology, from: "Algebraic geometry, I" (editors D Abramovich, A Bertram, L Katzarkov, R Pandharipande, M Thaddeus), Proc. Sympos. Pure Math. 80, Amer. Math. Soc. (2009) 415 MR2483942
24 P Seidel, Fukaya A–structures associated to Lefschetz fibrations, I, J. Symplectic Geom. 10 (2012) 325 MR2983434
25 C Voisin, Hodge theory and complex algebraic geometry, I, 76, Cambridge Univ. Press (2002) MR1967689
26 A Weinstein, Contact surgery and symplectic handlebodies, Hokkaido Math. J. 20 (1991) 241 MR1114405
27 R Wongkew, Volumes of tubular neighbourhoods of real algebraic varieties, Pacific J. Math. 159 (1993) 177 MR1211391