Dergiler / Turkish Journal of Mathematics / 2003 / Cilt: 27 - Sayı: 1
Galois symmetry on Floer cohomology
- Sayfa
- 11–32
- DOI
- —
Özet
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.
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 (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.