Homological algebra related to surfaces with boundary

Kai Cieliebak; Kenji Fukaya; Janko Latschev

doi:10.4171/qt/144

JournalsqtVol. 11, No. 4pp. 691–837

Homological algebra related to surfaces with boundary

Kai Cieliebak
Universität Augsburg, Germany
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Kenji Fukaya
State University of New York at Stony Brook, USA
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Janko Latschev
Universität Hamburg, Germany
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- zbMATH Open

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Abstract

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.

Cite this article

Kai Cieliebak, Kenji Fukaya, Janko Latschev, Homological algebra related to surfaces with boundary. Quantum Topol. 11 (2020), no. 4, pp. 691–837

DOI 10.4171/QT/144