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On certain Lagrangian submanifolds of $S^2\times S^2$ and $\mathbb{C}\mathrm{P}^n$

Joel Oakley and Michael Usher

Algebraic & Geometric Topology 16 (2016) 149–209
Bibliography
1 P Albers, U Frauenfelder, A nondisplaceable Lagrangian torus in TS2, Comm. Pure Appl. Math. 61 (2008) 1046 MR2417887
2 D Auroux, Mirror symmetry and T–duality in the complement of an anticanonical divisor, J. Gökova Geom. Topol. 1 (2007) 51 MR2386535
3 P Biran, Lagrangian barriers and symplectic embeddings, Geom. Funct. Anal. 11 (2001) 407 MR1844078
4 P Biran, Lagrangian non-intersections, Geom. Funct. Anal. 16 (2006) 279 MR2231465
5 P Biran, O Cornea, Rigidity and uniruling for Lagrangian submanifolds, Geom. Topol. 13 (2009) 2881 MR2546618
6 P Biran, O Cornea, Lagrangian topology and enumerative geometry, Geom. Topol. 16 (2012) 963 MR2928987
7 P Biran, M Khanevsky, A Floer–Gysin exact sequence for Lagrangian submanifolds, Comment. Math. Helv. 88 (2013) 899 MR3134415
8 Y Chekanov, F Schlenk, Notes on monotone Lagrangian twist tori, Electron. Res. Announc. Math. Sci. 17 (2010) 104 MR2735030
9 C H Cho, Non-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle, J. Geom. Phys. 58 (2008) 1465 MR2463805
10 Y Eliashberg, L Polterovich, Symplectic quasi-states on the quadric surface and Lagrangian submanifolds, preprint (2010) arXiv:1006.2501
11 M Entov, L Polterovich, Quasi-states and symplectic intersections, Comment. Math. Helv. 81 (2006) 75 MR2208798
12 M Entov, L Polterovich, Rigid subsets of symplectic manifolds, Compos. Math. 145 (2009) 773 MR2507748
13 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian Floer theory on compact toric manifolds I, Duke Math. J. 151 (2010) 23 MR2573826
14 K Fukaya, Y G Oh, H Ohta, K Ono, Toric degeneration and nondisplaceable Lagrangian tori in S2 × S2, Int. Math. Res. Not. 2012 (2012) 2942 MR2946229
15 A Gadbled, On exotic monotone Lagrangian tori in ℂℙ2 and 𝕊2 × 𝕊2, J. Symplectic Geom. 11 (2013) 343 MR3100797
16 M Gromov, Pseudoholomorphic curves in symplectic manifolds, Invent. Math. 82 (1985) 307 MR809718
17 M Khovanov, P Seidel, Quivers, Floer cohomology, and braid group actions, J. Amer. Math. Soc. 15 (2002) 203 MR1862802
18 E Lerman, Symplectic cuts, Math. Res. Lett. 2 (1995) 247 MR1338784
19 E Lerman, S Tolman, Hamiltonian torus actions on symplectic orbifolds and toric varieties, Trans. Amer. Math. Soc. 349 (1997) 4201 MR1401525
20 D McDuff, Displacing Lagrangian toric fibers via probes, from: "Low-dimensional and symplectic topology" (editor M Usher), Proc. Sympos. Pure Math. 82, Amer. Math. Soc. (2011) 131 MR2768658
21 Y G Oh, Addendum to : “Floer cohomology of Lagrangian intersections and pseudo-holomorphic disks, I” [Comm. Pure Appl. Math. 46 (1993) 949–993], Comm. Pure Appl. Math. 48 (1995) 1299 MR1367384
22 L Polterovich, The geometry of the group of symplectic diffeomorphisms, Birkhäuser (2001) MR1826128
23 M Poźniak, Floer homology, Novikov rings and clean intersections, from: "Northern California Symplectic Geometry Seminar" (editors Y Eliashberg, D Fuchs, T Ratiu, A Weinstein), Amer. Math. Soc. Transl. 196, Amer. Math. Soc. (1999) 119 MR1736217
24 R Vianna, Infinitely many exotic monotone Lagrangian tori in ℂℙ2, preprint (2014) arXiv:1409.2850
25 R Vianna, On exotic Lagrangian tori in ℂℙ2, Geom. Topol. 18 (2014) 2419 MR3268780
26 W Wu, On an exotic Lagrangian torus in ℂℙ2, Compos. Math. 151 (2015) 1372 MR3371497