Galois symmetry on Floer cohomology

Authors : Kenji FUKAYA

Pages : 11-32

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :In this article, we define an action of \hat{\Bbb Z} on the A\infty category whose objects are rational Lagrangian submanifolds together with some other data. The group \hat{\Bbb Z} is a Galois group of the insert ignore into journalissuearticles values(universal); Novikov ring insert ignore into journalissuearticles values(field); over Laurent polynomial field. By mirror symmetry it will corresponds to the algebraic fundamental group of a punctured disk which parametrize the maximal degenerate family of the mirror complex manifold.
Keywords : Turk J Math, 27, 2003, , 11 32 Turk J Math, vol 27, iss 1