Algebraic & Geometric Topology Volume 16, issue 3 (2016)

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Lagrangian circle actions

Clément Hyvrier

Algebraic & Geometric Topology 16 (2016) 1309–1342

DOI: 10.2140/agt.2016.16.1309

Bibliography

1	M Akveld, D Salamon, Loops of Lagrangian submanifolds and pseudoholomorphic discs, Geom. Funct. Anal. 11 (2001) 609 MR1866797
2	S Anjos, R Leclercq, Seidel’s morphism of toric 4–manifolds, preprint (2014) arXiv:1406.7641
3	V V Batyrev, Quantum cohomology rings of toric manifolds, from: "Journées de Géométrie Algébrique d’Orsay", Astérisque 218, Société Mathématique de France (1993) 9 MR1265307
4	P Biran, O Cornea, A Lagrangian quantum homology, from: "New perspectives and challenges in symplectic field theory" (editors M Abreu, F Lalonde, L Polterovich), CRM Proc. Lecture Notes 49, Amer. Math. Soc. (2009) 1 MR2555932
5	P Biran, O Cornea, Rigidity and uniruling for Lagrangian submanifolds, Geom. Topol. 13 (2009) 2881 MR2546618
6	D A Cox, S Katz, Mirror symmetry and algebraic geometry, 68, Amer. Math. Soc. (1999) MR1677117
7	J J Duistermaat, Convexity and tightness for restrictions of Hamiltonian functions to fixed point sets of an antisymplectic involution, Trans. Amer. Math. Soc. 275 (1983) 417 MR678361
8	V Guillemin, E Lerman, S Sternberg, Symplectic fibrations and multiplicity diagrams, Cambridge Univ. Press (1996) MR1414677
9	V W Guillemin, S Sternberg, Supersymmetry and equivariant de Rham theory, Springer (1999) MR1689252
10	L Haug, On the quantum homology of real Lagrangians in Fano toric manifolds, Int. Math. Res. Not. (2013) 3171 MR3085757
11	S Hu, F Lalonde, A relative Seidel morphism and the Albers map, Trans. Amer. Math. Soc. 362 (2010) 1135 MR2563724
12	S Hu, F Lalonde, R Leclercq, Homological Lagrangian monodromy, Geom. Topol. 15 (2011) 1617 MR2851073
13	F Lalonde, D McDuff, L Polterovich, Topological rigidity of Hamiltonian loops and quantum homology, Invent. Math. 135 (1999) 369 MR1666763
14	D McDuff, D Salamon, Introduction to symplectic topology, Clarendon Press (1998) MR1698616
15	D McDuff, J Slimowitz, Hofer–Zehnder capacity and length minimizing Hamiltonian paths, Geom. Topol. 5 (2001) 799 MR1871405
16	D McDuff, S Tolman, Topological properties of Hamiltonian circle actions, Int. Math. Res. Pap. (2006) MR2210662
17	Y G Oh, Riemann–Hilbert problem and application to the perturbation theory of analytic discs, Kyungpook Math. J. 35 (1995) 39 MR1345070
18	A Rieser, Lagrangian blow-ups, blow-downs, and applications to real packing, J. Symplectic Geom. 12 (2014) 725 MR3333028
19	B Siebert, G Tian, On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator, Asian J. Math. 1 (1997) 679 MR1621570
20	A Cannas da Silva, Symplectic toric manifolds, from: "Symplectic geometry of integrable Hamiltonian systems", Birkhäuser (2003) 85 MR2000746