Lagrangian Floer Theory and Mirror Symmetry on Compact Toric Manifolds
Kenji Fukaya, Yong-geun Oh, Hiroshi Ohta, Kaoru Ono
In this volume we study Lagrangian Floer theory on toric manifolds from the point of view of mirror symmetry. We 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. Our proof of the isomorphism involves the open-closed Gromov-Witten theory of one-loop.
سب زمرہ:
سال:
2016
ناشر کتب:
Societe Mathematique De France
زبان:
english
صفحات:
340
ISBN 10:
2856298257
ISBN 13:
9782856298251
سیریز:
Asterisque 376
فائل:
PDF, 3.07 MB
IPFS:
,
english, 2016
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