Algebraic & Geometric Topology Volume 12, issue 2 (2012)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

On symplectic uniruling of Hamiltonian fibrations

Clément Hyvrier

Algebraic & Geometric Topology 12 (2012) 1145–1163

DOI: 10.2140/agt.2012.12.1145

Bibliography

1	A Blanchard, Sur les variétés analytiques complexes, Ann. Sci. Ecole Norm. Sup. 73 (1956) 157 MR0087184
2	B Chen, A M Li, Symplectic virtual localization of Gromov–Witten invariants arXiv:math/0610370
3	H Hofer, C Viterbo, The Weinstein conjecture in the presence of holomorphic spheres, Comm. Pure Appl. Math. 45 (1992) 583 MR1162367
4	J Hu, T J Li, Y Ruan, Birational cobordism invariance of uniruled symplectic manifolds, Invent. Math. 172 (2008) 231 MR2390285
5	C Hyvrier, A product formula for Gromov–Witten invariants, to appear in J. Symplectic Geom. arXiv:0904.1492
6	J Kȩdra, Restrictions on symplectic fibrations, Differential Geom. Appl. 21 (2004) 93 MR2067461
7	J Kollár, Rational curves on algebraic varieties, 32, Springer (1996) MR1440180
8	J Kollár, Low degree polynomial equations: arithmetic, geometry and topology, from: "European Congress of Mathematics, Vol. I (Budapest, 1996)", Progr. Math. 168, Birkhäuser (1998) 255 MR1645812
9	F Lalonde, D McDuff, Symplectic structures on fiber bundles, Topology 42 (2003) 309 MR1941438
10	F Lalonde, D McDuff, L Polterovich, Topological rigidity of Hamiltonian loops and quantum homology, Invent. Math. 135 (1999) 369 MR1666763
11	J Li, G Tian, Virtual moduli cycles and Gromov–Witten invariants of general symplectic manifolds, from: "Topics in symplectic 4-manifolds (Irvine, CA, 1996)" (editor R J Stern), First Int. Press Lect. Ser. I, Int. Press (1998) 47 MR1635695
12	T Li, Y Ruan, Uniruled symplectic divisors arXiv:0711.4254
13	G Liu, G Tian, Weinstein conjecture and GW–invariants, Commun. Contemp. Math. 2 (2000) 405 MR1806943
14	G Lu, The Weinstein conjecture in the uniruled manifolds, Math. Res. Lett. 7 (2000) 383 MR1783615
15	D McDuff, Hamiltonian S¹–manifolds are uniruled, Duke Math. J. 146 (2009) 449 MR2484280
16	D McDuff, D Salamon, Introduction to symplectic topology, , The Clarendon Press, Oxford Univ. Press (1998) MR1698616
17	D McDuff, D Salamon, J–holomorphic curves and symplectic topology, 52, Amer. Math. Soc. (2004) MR2045629
18	Y Ruan, Virtual neighborhoods and pseudo-holomorphic curves, from: "Proceedings of 6th Gökova Geometry-Topology Conference" (1999) 161 MR1701645
19	Y Ruan, G Tian, A mathematical theory of quantum cohomology, J. Differential Geom. 42 (1995) 259 MR1366548
20	P Seidel, π₁ of symplectic automorphism groups and invertibles in quantum homology rings, Geom. Funct. Anal. 7 (1997) 1046 MR1487754
21	C Viterbo, A proof of Weinstein’s conjecture in R²ⁿ, Ann. Inst. H. Poincaré Anal. Non Linéaire 4 (1987) 337 MR917741
22	A Weinstein, On the hypotheses of Rabinowitz’ periodic orbit theorems, J. Differential Equations 33 (1979) 353 MR543704