Zero-loop open strings in the cotangent bundle and Morse homotopy
type: Item
instance of: scholarly article
title: Zero-loop open strings in the cotangent bundle and Morse homotopy
zbMATH Open document ID: 0938.32009
published in: The Asian Journal of Mathematics
publication date: 2000-06-15T00:00:00Z
review text: 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.
reviewed by: Katharina Habermann
Mathematics Subject Classification ID: 32G13
zbMATH DE Number: 1310251
zbMATH Keywords: moduli space of graph flows
zbMATH Keywords: moduli space of pseudo-holomorphic discs
zbMATH Keywords: Lagrangian boundary condition
zbMATH Keywords: \(A^{\infty}\)-structure
author: Kenji Fukaya
author: Yong-Geun Oh
MaRDI profile type: Publication
DOI: 10.4310/AJM.1997.V1.N1.A5
description: scientific article; zbMATH DE number 1310251