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arXiv · 1406.6004

The Lagrangian Cubic Equation

Paul Biran·Cedric Membrez
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Abstract

Let $M$ be a closed symplectic manifold and $L \subset M$ a Lagrangian submanifold. Denote by $[L]$ the homology class induced by $L$ viewed as a class in the quantum homology of $M$. The present paper is concerned with properties and identities involving the class $[L]$ in the quantum homology ring. We also study the relations between these identities and invariants of $L$ coming from Lagrangian Floer theory. We pay special attention to the case when $L$ is a Lagrangian sphere.

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Paul Biran, Cedric Membrez. 2014-06-23. The Lagrangian Cubic Equation. https://arxiv.org/abs/1406.6004

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