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- W1524514866 abstract "We show that a model of chain complex of the free loop space of a $C^infty$-manifold, which is proposed in arxiv:1404.0153, admits an action of a certain dg operad. This is a chain level structure under the Chas-Sullivan BV structure on loop space homology. Our dg operad is a variant of the cacti operad, and we introduce combinatorial objects called decorated cacti to define it. We also define a chain level Gerstenhaber structure on Hochschild cochains of any differential graded algebra. Applied to the dga of differential forms, this structure is compatible with our chain level structure in string topology." @default.
- W1524514866 created "2016-06-24" @default.
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- W1524514866 date "2015-03-01" @default.
- W1524514866 modified "2023-09-23" @default.
- W1524514866 title "A chain level Batalin-Vilkovisky structure in string topology and decorated cacti" @default.
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- W1524514866 doi "https://doi.org/10.48550/arxiv.1503.00403" @default.
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