110 research outputs found
The Lagrangian Cubic Equation
Let be a closed symplectic manifold and a Lagrangian
submanifold. Denote by the homology class induced by viewed as a
class in the quantum homology of . The present paper is concerned with
properties and identities involving the class in the quantum homology
ring. We also study the relations between these identities and invariants of
coming from Lagrangian Floer theory. We pay special attention to the case
when is a Lagrangian sphere.Comment: 57 pages, 5 figure
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