Kenji FUKAYA

111114

Galois symmetry on Floer cohomology

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 (universal) Novikov ring (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.

Anahtar Kelimeler:

Turk. J. Math., 27, (2003), 11-32. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.1.

Galois symmetry on Floer cohomology

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 (universal) Novikov ring (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. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.27, iss.1.,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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