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arxiv: 1108.5605 · v3 · pith:ZXDELAQJnew · submitted 2011-08-29 · 🧮 math.SG

On the Quantum Homology of Real Lagrangians in Fano Toric Manifolds

classification 🧮 math.SG
keywords homologyquantumringfanoisomorphiclagrangiansmanifoldsreal
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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/2Z. 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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