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Quantum Structures for Lagrangian Submanifolds

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arxiv 0708.4221 v1 pith:UARPQOPE submitted 2007-08-30 math.SG math.DG

Paul Biran , Octav Cornea This is my paper · ORCID
classification math.SGmath.DG
keywords lagrangianquantumstructuressubmanifoldsalgebraicapplicationsassociatedcomputations
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We discuss various algebraic quantum structures associated to monotone Lagrangian submanifolds and we present a number of applications, computations and examples.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Rabinowitz Floer homology for Legendrian submanifolds in prequantization bundles

    math.SG 2026-06 unverdicted novelty 6.0 of 10

    Defines Rabinowitz Floer homology for Legendrian submanifolds in prequantization bundles and establishes an isomorphism to quantum homology of the underlying Lagrangian, enabling computations for spheres in quadrics a...

  2. Equivalence of the pearly tree immersed Lagrangian Floer theory and the Hamiltonian immersed Lagrangian Floer theory

    math.SG 2025-01 reject novelty 5.0 of 10

    The pearly-tree and Hamiltonian immersed Lagrangian Floer chain groups are claimed to be canonically identified, extending Alston-Bao from the unobstructed to the obstructed setting.

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