Volume 18, issue 4 (2014)

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On exotic Lagrangian tori in $\mathbb{CP}^2$

Renato Vianna

Geometry & Topology 18 (2014) 2419–2476
Bibliography
1 D Auroux, Mirror symmetry and $T$–duality in the complement of an anticanonical divisor, J. Gökova Geom. Topol. GGT 1 (2007) 51 MR2386535
2 D Auroux, Special Lagrangian fibrations, wall-crossing, and mirror symmetry, from: "Geometry, analysis, and algebraic geometry: Forty years of the Journal of Differential Geometry" (editors H D Cao, S T Yau), Surv. Differ. Geom. 13, International Press (2009) 1 MR2537081
3 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
4 P Biran, O Cornea, Lagrangian topology and enumerative geometry, Geom. Topol. 16 (2012) 963 MR2928987
5 Y V Chekanov, Lagrangian tori in a symplectic vector space and global symplectomorphisms, Math. Z. 223 (1996) 547 MR1421954
6 Y V Chekanov, F Schlenk, Notes on monotone Lagrangian twist tori, Electron. Res. Announc. Math. Sci. 17 (2010) 104 MR2735030
7 C H Cho, Holomorphic discs, spin structures, and Floer cohomology of the Clifford torus, Int. Math. Res. Not. 2004 (2004) 1803 MR2057871
8 C H Cho, Y G Oh, Floer cohomology and disc instantons of Lagrangian torus fibers in Fano toric manifolds, Asian J. Math. 10 (2006) 773 MR2282365
9 Y Eliashberg, L Polterovich, The problem of Lagrangian knots in four-manifolds, from: "Geometric topology" (editor W H Kazez), AMS/IP Stud. Adv. Math. 2, Amer. Math. Soc. (1997) 313 MR1470735
10 K Fukaya, Y G Oh, H Ohta, K Ono, Lagrangian intersection Floer theory: Anomaly and obstruction, Part II, AMS/IP Studies in Advanced Mathematics 46, Amer. Math. Soc. (2009) MR2548482
11 S Galkin, A Usnich, Mutations of potentials, preprint (2010)
12 M Gross, B Siebert, An invitation to toric degenerations, from: "Geometry of special holonomy and related topics" (editors N C Leung, S T Yau), Surv. Differ. Geom. 16, International Press (2011) 43 MR2893676
13 M Kontsevich, Y Soibelman, Affine structures and non-Archimedean analytic spaces, from: "The unity of mathematics" (editors P Etingof, V Retakh, I M Singer), Progr. Math. 244, Birkhäuser (2006) 321 MR2181810
14 D Kwon, Y G Oh, Structure of the image of (pseudo)holomorphic discs with totally real boundary condition, Comm. Anal. Geom. 8 (2000) 31 MR1730896
15 L Lazzarini, Existence of a somewhere injective pseudoholomorphic disc, Geom. Funct. Anal. 10 (2000) 829 MR1791142
16 N C Leung, M Symington, Almost toric symplectic four-manifolds, J. Symplectic Geom. 8 (2010) 143 MR2670163
17 Y G Oh, Relative Floer and quantum cohomology and the symplectic topology of Lagrangian submanifolds, from: "Contact and symplectic geometry" (editor C B Thomas), Publ. Newton Inst. 8, Cambridge Univ. Press (1996) 201 MR1432465
18 M Symington, Four dimensions from two in symplectic topology, from: "Topology and geometry of manifolds" (editors G Matić, C McCrory), Proc. Sympos. Pure Math. 71, Amer. Math. Soc. (2003) 153 MR2024634
19 N A Tyurin, Exotic Chekanov tori in toric symplectic varieties, J. Physics 411 (2013)