On exotic Lagrangian tori in ℂℙ2

Vianna, Renato¹

¹ Department of Mathematics, University of California at Berkeley, 1087 Evans Hall, Berkeley, CA 94720-3840, USA

Geometry & topology, Tome 18 (2014) no. 4, pp. 2419-2476.

Résumé

We construct an exotic monotone Lagrangian torus in ${ℂ\mathbb{P}}^2$ using techniques motivated by mirror symmetry. We show that it bounds $10$ families of Maslov index $2$ holomorphic discs, and it follows that this exotic torus is not Hamiltonian isotopic to the known Clifford and Chekanov tori.

Détail

DOI : 10.2140/gt.2014.18.2419

Classification : 53D12, 53D37, 53D40
Keywords: exotic Lagrangian, Clifford, Chekanov, torus, tori

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