On the Quantum Homology of Real Lagrangians in Fano Toric Manifolds

Details On the Quantum Homology of Real Lagrangians in Fano Toric Manifolds On the Quantum Homology of Real Lagrangians in Fano Toric Manifolds

2011-08-29

arxiv.org/abs/1108.5605v1

Mathematics

Symplectic Geometry

36 pages, 2 figures

Scientific paper

We study the Lagrangian quantum homology of real parts of Fano toric manifolds of minimal Chern number at least 2, using coefficients in a ring of Laurent polynomials over Z_2. We show that these Lagrangians are wide, in the sense that their quantum homology is isomorphic as a module to their classical homology tensored with this ring. Moreover, we show that the quantum homology is isomorphic as a ring to the quantum homology of the ambient symplectic manifold.

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