Zero-loop open strings in the cotangent bundle and Morse homotopy
The authors prove that the rational homotopy type of a compact manifold \(M\) can be described by the moduli space of pseudo-holomorphic discs with appropriate Lagrangian boundary conditions in its cotangent bundle \(T^*M\). For this, two moduli spaces are investigated. These are the moduli space of graph flows, which represents the Morse theory side, and the moduli space of pseudo-holomorphic discs, which is related to symplectic geometry. The main theorem asserts their equivalence.
moduli space of pseudo-holomorphic discs
scientific article; zbMATH DE number 1310251