Maiti, Arun creator text New Delhi :Indian National Science Academy | Springer ,2023 monographic eng

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996-1011p. 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. ***______{For Hard Copy, Please visit Library.}________*** String topology| Hochschild homology| Geodesics 0019-5588 https://doi.org/10.1007/s13226-022-00306-w https://doi.org/10.1007/s13226-022-00306-w 240205 20240205115346.0