Lagrangian Floer Theory and Mirror Symmetry on Compact Toric Manifolds
Lagrangian Floer Theory and Mirror Symmetry on Compact Toric Manifolds
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Author(s): Fukaya, Kenji
Oh, Yong-Geun
Ohta, Hiroshi
ISBN No.: 9782856298251
Pages: 340
Year: 201602
Format: Trade Paper
Price: $ 114.80
Dispatch delay: Dispatched between 7 to 15 days
Status: Available

In this volume, the authors study Lagrangian Floer theory on toric manifolds from the point of view of mirror symmetry. They construct a natural isomorphism between the Frobenius manifold structures of the (big) quantum cohomology of the toric manifold and of Saito's theory of singularities of the potential function constructed in [Fukaya, Tohoku Math. J. 63 (2011)] via the Floer cohomology deformed by ambient cycles. Their proof of the isomorphism involves the open-closed Gromov-Witten theory of one-loop.


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