Noncontractible Hamiltonian loops in the kernel of Seidel's representation

DOI10.2140/pjm.2017.290.257zbMath1375.53107arXiv1602.05787OpenAlexW3102624062MaRDI QIDQ2398620

Sílvia Anjos, Rémi Leclercq

Publication date: 18 August 2017

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.05787

zbMATH Keywords

Hirzebruch surfacesSeidel morphismtoric symplectic manifolds

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Cites Work

• The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane
• Seidel elements and mirror transformations
• Homological Lagrangian monodromy
• The Seidel morphism of Cartesian products
• Spectral invariants in Lagrangian Floer theory
• Quantum characteristic classes and the Hofer metric
• Topological rigidity of Hamiltonian loops and quantum homology
• \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings
• Open Gromov-Witten invariants, mirror maps, and Seidel representations for toric manifolds
• Floer homology of families. I.
• Lagrangian intersections and the Serre spectral sequence
• Lagrangian Floer theory and mirror symmetry on compact toric manifolds
• A relative Seidel morphism and the Albers map
• Topology of symplectomorphism groups of rational ruled surfaces
• Spectral invariants for monotone Lagrangians
• A Lagrangian Piunikhin-Salamon-Schwarz Morphism and Two Comparison Homomorphisms in Floer Homology

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