Lagrangian barriers and symplectic embeddings

By P. Biran. 2001

127 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/2921d5a2f3613562be203bb0b824a496a4c591d0

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL (2003, background): “not be displaced from itself by a Hamiltonian isotopy. Example 7.2. Let (M,ω) be a projective algebraic manifold endowed with the Fubini-Study form. It follows from the theory of Lagrangian skeletons [5] that Mcarries many singular foliations by Lagrangian tori and thus provides a natural playground”
Propagation in Hamiltonian dynamics and relative symplectic homology (2001, methodology): “Let g: Td ! D be a continuous map whose image is contained in B (h, a). Then, for a set of Lebesgue measure1 of points y2 Td, the sequential system f (y) has at”
Punctured holomorphic curves and Lagrangian embeddings (2014, background): “Biran [6] has shown that a symplectically embedded ball B ⊂ CP of radius r > 1/ √ 2 must intersect RP ⊂ CP.”
Rigidity and uniruling for Lagrangian submanifolds (2008, methodology): “We refer the reader to Biran [7] for more details on this type of decompositions.”
Lagrangian non-intersections (2004, methodology): “A basic tool that we shall use throughout this work is a decomposition technique for Kähler manifolds that was developed in [5].”
Quantum Structures for Lagrangian Submanifolds (2007, methodology): “When L is the standard real projective space RP n ⊂ CP n the inequality in Corollary 6.7.1 has been proved before by Biran [14] by different methods.”
Gromov-Witten invariants and pseudo symplectic capacities (2001, background): “nian systems near a closed symplectic submanifold has been studied by several authors, see [CiGiKe, GiGu] and the references there for details. Combing Proposition 1.7 with the arguments in [Lu6] and [Bi1] we get Theorem 1.24 For any symplectic manifold (M,ω) and any rational closed symplectic subma”
Floer homology of families I (2003, background): “, deﬁned by projecting onto the D(rk) factor in (2.5). Now one way to obtain the isomorphism (2.4) is to show that the compactiﬁed descending manifolds D(p) are homeomorphic to closed balls, see e.g. [2, 3], so that together with the maps e: D(p) → X, they give Xthe structure of a CW complex in whic”