论文标题
链级词汇弦拓扑：代数与分析
Chain-level equivariant string topology: algebra versus analysis
论文作者
论文摘要
我们证明，在2个连接的封闭式歧管上，IBL $ _ \ infty $结构的分析和代数结构与封闭的歧管重合相关。相应的结构是在保持同型等效的方向下不变的，并诱导同源性chas和sullivan的涉及双重双子结构。
We prove that on 2-connected closed oriented manifolds, the analytic and algebraic constructions of an IBL$_\infty$ structure associated to a closed oriented manifold coincide. The corresponding structure is invariant under orientation preserving homotopy equivalences and induces on homology the involutive Lie bialgebra structure of Chas and Sullivan.
