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Reduced symplectic
homology and string topology
Kai Cieliebak and Alexandru Oancea |
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Vol. 8 (2026), No. 2, 203–264
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Abstract |
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We introduce a common domain of definition for the loop product and the loop coproduct, reduced loop homology, on which they combine to a unital infinitesimal antisymmetric bialgebra structure. In particular, a relation conjectured by Sullivan holds with an extra term. The structure depends on choices governed by secondary continuation maps. These results on string topology are proved in the more general context of reduced symplectic homology for a suitable class of Weinstein manifolds. |
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Keywords
Floer homology, symplectic homology, string topology,
infinitesimal bialgebra
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Mathematical Subject Classification
Primary: 53D40, 55M05, 55P50
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Milestones
Received: 15 October 2024
Revised: 1 June 2025
Accepted: 17 June 2025
Published: 2 April 2026
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Authors |
| Kai Cieliebak | |
| Universität Augsburg Augsburg Germany |
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| Alexandru Oancea | |
| Institut de recherche mathématique
avancée (IRMA) Université de Strasbourg Strasbourg France |
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| © 2026 MSP (Mathematical Sciences Publishers). |
