Full-Text PDF (1523 KB) | Metadata | Table of Contents | QT summary
Published online: 2020-12-23
Homological algebra related to surfaces with boundaryKai Cieliebak, Kenji Fukaya and Janko Latschev (1) Universität Augsburg, Germany
(2) State University of New York at Stony Brook, USA
(3) Universität Hamburg, Germany
In this article we describe an algebraic framework which can be used in three related but different contexts: string topology, symplectic field theory, and Lagrangian Floer theory of higher genus.
Keywords: Loop space, string topology, symplectic field theory, cyclic homology, perturbative Chern–Simons theory, ribbon graph, involutive Lie bialgebra
Cieliebak Kai, Fukaya Kenji, Latschev Janko: Homological algebra related to surfaces with boundary. Quantum Topol. 11 (2020), 691-837. doi: 10.4171/QT/144