Quantum Reidemeister torsion, open Gromov–Witten invariants and a spectral 
sequence of OH

Charette, François

doi:10.1093/imrn/rnx195

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Quantum Reidemeister torsion, open Gromov–Witten invariants and a spectral sequence of OH

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Charette, François
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1093/imrn/rnx195
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Charette, F. (2019). Quantum Reidemeister torsion, open Gromov–Witten invariants and a spectral sequence of OH. International Mathematics Research Notices, 2019(8), 2483-2518. doi:10.1093/imrn/rnx195.

Cite as: https://hdl.handle.net/21.11116/0000-0004-42E9-B

Abstract

We adapt classical Reidemeister torsion to monotone Lagrangian submanifolds using the pearl complex of Biran and Cornea. The definition involves generic choices of data and we identify a class of Lagrangians for which this torsion is invariant and can be computed in terms of genus zero open Gromov–Witten invariants. This class is defined by a vanishing property of a spectral sequence of Oh in Lagrangian Floer theory.