Rigidity and uniruling for Lagrangian submanifolds

2008/08/18 by Paul Biran, Octav Cornea · 1 citation
Mathematics · #math.SG #math.DG

paper · pdf · doi:10.2140/gt.2009.13.2881

published as Geom. Topol. 13 (2009) 2881-2989 · In part, a shortened and revised version of "Quantum Structures for Lagrangian Submanifolds" (arXiv:0708.4221). Contains also new results

arxiv created 2008/08/18 · arxiv updated 2014/11/11

Abstract

This paper explores the topology of monotone Lagrangian submanifolds L inside a symplectic manifold M by exploiting the relationships between the quantum homology of M and various quantum structures associated to the Lagrangian L.

Citations

• Quantum Structures for Lagrangian Submanifolds

Cited by

• Higher-dimensional Heegaard Floer homology and spectral networks
• Explicit Hamiltonian Classification in the F₄(0) Toric Degeneration of CP²