Volume 3, issue 2 (2003)

Download this article
For printing
Recent Issues

Volume 25
Issue 9, 5175–5754
Issue 8, 4437–5174
Issue 7, 3789–4436
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Existence of foliations on 4–manifolds

Alexandru Scorpan

Algebraic & Geometric Topology 3 (2003) 1225–1256
Bibliography
1 , Holomorphic curves in symplectic geometry, Progress in Mathematics 117, Birkhäuser Verlag (1994) MR1274923
2 C Bohr, Embedded surfaces and almost complex structures, Proc. Amer. Math. Soc. 128 (2000) 2147 MR1657766
3 A Candel, L Conlon, Foliations I, Graduate Studies in Mathematics 23, American Mathematical Society (2000) MR1732868
4 A Dold, H Whitney, Classification of oriented sphere bundles over a 4–complex, Ann. of Math. $(2)$ 69 (1959) 667 MR0123331
5 S K Donaldson, An application of gauge theory to four-dimensional topology, J. Differential Geom. 18 (1983) 279 MR710056
6 S K Donaldson, Lefschetz pencils on symplectic manifolds, J. Differential Geom. 53 (1999) 205 MR1802722
7 Y Eliashberg, N M Mishachev, Wrinkling of smooth mappings III: Foliations of codimension greater than one, Topol. Methods Nonlinear Anal. 11 (1998) 321 MR1659446
8 D Gabai, Foliations and the topology of 3–manifolds, J. Differential Geom. 18 (1983) 445 MR723813
9 R E Gompf, A I Stipsicz, 4–manifolds and Kirby calculus, Graduate Studies in Mathematics 20, American Mathematical Society (1999) MR1707327
10 F Hirzebruch, H Hopf, Felder von Flächenelementen in 4–dimensionalen Mannigfaltigkeiten, Math. Ann. 136 (1958) 156 MR0100844
11 P B Kronheimer, Minimal genus in $S^1{\times}M^3$, Invent. Math. 135 (1999) 45 MR1664695
12 P B Kronheimer, T S Mrowka, The genus of embedded surfaces in the projective plane, Math. Res. Lett. 1 (1994) 797 MR1306022
13 P Ozsváth, Z Szabó, The symplectic Thom conjecture, Ann. of Math. $(2)$ 151 (2000) 93 MR1745017
14 H Rummler, Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts, Comment. Math. Helv. 54 (1979) 224 MR535057
15 N Steenrod, The Topology of Fibre Bundles, Princeton Mathematical Series 14, Princeton University Press (1951) MR0039258
16 W P Thurston, Existence of codimension-one foliations, Ann. of Math. $(2)$ 104 (1976) 249 MR0425985
17 W Thurston, The theory of foliations of codimension greater than one, Comment. Math. Helv. 49 (1974) 214 MR0370619
18 W P Thurston, A norm for the homology of 3–manifolds, Mem. Amer. Math. Soc. 59 (1986) MR823443
19 W T Wu, Sur les classes caractéristiques des structures fibrées sphériques, Actualités Sci. Ind. 1183, Hermann & Cie, Paris (1952) MR0055691