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Some computations in string topology (Journal Article)

By:

Maiti, Arun

Material type: Text

TextSeries: Indian Journal of Pure and Applied Mathematics ; , Volume 54: Number 4, December 2023Publication details: New Delhi :Indian National Science Academy | Springer ,2023Description: 996-1011pISSN:

0019-5588

Subject(s):

String topology| Hochschild homology| Geodesics

Online resources:

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Contents:

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Summary: 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.

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Item type	Current library	Call number	Status	Date due	Barcode
Periodicals	RIE BPL Library		Not for loan

***______{For Hard Copy, Please visit Library.}________***

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.

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Some computations in string topology (Journal Article)

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