Some computations in string topology (Journal Article)
- New Delhi :Indian National Science Academy | Springer ,2023
- 996-1011p.
- Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 .
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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.