Vol. 203, No. 1, 2002

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Lagrangian sections and holomorphic U(1)-connections

Jingyi Chen

Vol. 203 (2002), No. 1, 139–160
Abstract

We construct a correspondence between the complex gauge equivalence classes of holomorphic U(1)-connections on a smooth semi-flat special Lagrangian torus fibration and the Hamiltonian deformation classes of Lagrangian sections Σ in the mirror manifold together with the gauge equivalence classes of flat U(1)-connections on Σ.

Milestones
Received: 16 May 2000
Revised: 12 September 2000
Published: 1 March 2002
Authors
Jingyi Chen
Department of Mathematics
The University of British Columbia
Vancouver, B.C.
Canada V6T 1Z2