Quantum Reidemeister torsion, open Gromov-Witten invariants and a\n spectral sequence of Oh

2015/03/02 by François Charette, Charette, François
Mathematics · #53D12 #53Dxx #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.1503.00460

openalex publication_date 2015/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We adapt classical Reidemeister torsion to monotone Lagrangian submanifolds\nusing the pearl complex of Biran and Cornea. The definition involves generic\nchoices of data and we identify a class of Lagrangians for which this torsion\nis invariant and can be computed in terms of genus zero open Gromov-Witten\ninvariants. This class is defined by a vanishing property of a spectral\nsequence of Oh in Lagrangian Floer theory.\n

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