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Some computations in string topology

Maiti, A (2022) Some computations in string topology. In: Indian Journal of Pure and Applied Mathematics .

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Official URL: https://doi.org/10.1007/s13226-022-00306-w


In this paper, we discuss Hochschild chain models for some of the string topology operations. We use these models to simplify the proofs and computations of some of the results in string topology. Along the way we also make some new observations. We further discuss how nonnilpotent local level homology classes with respect to the Chas–Sullivan and the Goresky–Hingston product detect closed geodesics with optimal index growth rates.

Item Type: Journal Article
Publication: Indian Journal of Pure and Applied Mathematics
Publisher: Indian National Science Academy
Additional Information: The copyright for this article belongs to Indian National Science Academy.
Keywords: Geodesics; Hochschild homology; String topology
Department/Centre: Division of Interdisciplinary Sciences > Interdisciplinary Mathematical Sciences
Date Deposited: 06 Oct 2022 08:47
Last Modified: 06 Oct 2022 08:47
URI: https://eprints.iisc.ac.in/id/eprint/77150

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