If X is a symplectic family of Lagrangian tori, the dual family X̂ has a natural complex structure. We define, for any dimension of X, a Fourier transform which yields a bijective correspondence between local systems supported on Lagrangian submanifolds of X and holomorphic vector bundles supported on complex subvarieties of X̂ (suitable conditions being verified on both sides).

A Fourier transform for sheaves on real tori: Part II. Relative theory / Bruzzo, U.; Marelli, G.; Pioli, F.. - In: JOURNAL OF GEOMETRY AND PHYSICS. - ISSN 0393-0440. - 41:4(2002), pp. 312-329. [10.1016/S0393-0440(01)00065-1]

A Fourier transform for sheaves on real tori: Part II. Relative theory

Bruzzo, U.;
2002-01-01

Abstract

If X is a symplectic family of Lagrangian tori, the dual family X̂ has a natural complex structure. We define, for any dimension of X, a Fourier transform which yields a bijective correspondence between local systems supported on Lagrangian submanifolds of X and holomorphic vector bundles supported on complex subvarieties of X̂ (suitable conditions being verified on both sides).
2002
41
4
312
329
Bruzzo, U.; Marelli, G.; Pioli, F.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/14201
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