Name: Some computations in string topology
Creator: Maiti, Arun
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), 0103 physical sciences, FOS: Mathematics, 0101 mathematics, 01 natural sciences, 05B45

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 05 Sep 2022Embargo end date: 01 Jan 2019 English Publisher:Springer Science and Business Media LLCJournal:Indian Journal of Pure and Applied Mathematics, volume 54, pages 996-1,011 (issn: 0019-5588, eissn: 0975-7465,

Authors: Maiti, Arun;

doi: 10.1007/s13226-022-00306-w , 10.48550/arxiv.1903.10147

arXiv: http://arxiv.org/abs/1903.10147

Some computations in string topology

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Abstract

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.

17 pages. arXiv admin note: text overlap with arXiv:1711.07062

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 05B45

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