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Quantum Topology

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Volume 11, Issue 4, 2020, pp. 691–837
DOI: 10.4171/QT/144

Published online: 2020-12-23

Homological algebra related to surfaces with boundary

Kai Cieliebak[1], Kenji Fukaya[2] and Janko Latschev[3]

(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