We show that, up to Lagrangian isotopy, there is a unique Lagrangian torus inside each of
the following uniruled symplectic four-manifolds: the symplectic vector space R^ 4 R 4, the …

LUTTINGER SURGERY AND KODAIRA DIMENSION∗ 1. Introduction. Let (X, ω) be a
symplectic 4-manifold with a Lagrangian torus L. It Page 1 ASIAN J. MATH. c 2012 International …

Let C2 be the standard symplectic vector space and La; b/ C2 be the product Lagrangian
torus, that is, a product of two circles of areas a and b in C. We give a complete answer to the …

In this paper we consider the problem of packing a symplectic manifold with integral
Lagrangian tori, that is Lagrangian tori whose area homomorphsims take only integer …

Hamiltonian unknottedness of certain monotone Lagrangian tori in S2S2 Page 1 Pacific
Journal of Mathematics HAMILTONIAN UNKNOTTEDNESS OF CERTAIN MONOTONE …

We study problems of classification of Lagrangian embeddings of a torus in a symplectic 4-
manifold. First we complete the proof of a claim that all Lagrangian tori in R 4 are isotopic …

In the first part, we study existence of the Lefschetz decomposition for de Rham cohomology,
which is characterized by the strong Lefschetz property. A new spectral sequence for …

arXiv:math/0602475v1 [math.SG] 21 Feb 2006 Isotopies of high genus Lagrangian surfaces
Page 1 arXiv:math/0602475v1 [math.SG] 21 Feb 2006 Isotopies of high genus Lagrangian …

unless otherwise mentioned. Let L ι↩→(R4, ω) be an embedded Lagrangian torus with
respect to the standard symplectic 2-form ω. The Lagrangian condition means that the pull …

We consider the problem of packing a symplectic manifold with integral Lagrangian tori, that
is, Lagrangian tori whose area homomorphisms take only integer values. We prove that the …