拉格朗日三次方程
The Lagrangian Cubic Equation
摘要：
设$M$是闭辛流形，$L \subset M$是拉格朗日子流形.用$[L]$表示由$L$诱导的同调类，该同调类被视为$M$的量子同调类。本文研究了量子同调环中涉及类$[L]$的性质和恒等式。我们还研究了这些恒等式与由LagrangianFloer理论导出的$L$不变量之间的关系。我们特别注意的情况下，当$L$是一个拉格朗日球。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
