Open Access
november 2015 Computational examples of rational string operations on Gorenstein spaces
Takahito Naito
Bull. Belg. Math. Soc. Simon Stevin 22(4): 543-558 (november 2015). DOI: 10.36045/bbms/1447856058

Abstract

In this paper, we give computational examples of string operations over the rational numbers field on Gorenstein spaces introduced by Félix and Thomas. Especially, we determine the structure of rational string operations on the classifying space of a compact connected Lie group and the Borel construction associated to an action of $S^{1}$ to $S^{2}$.

Citation

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Takahito Naito. "Computational examples of rational string operations on Gorenstein spaces." Bull. Belg. Math. Soc. Simon Stevin 22 (4) 543 - 558, november 2015. https://doi.org/10.36045/bbms/1447856058

Information

Published: november 2015
First available in Project Euclid: 18 November 2015

zbMATH: 1333.55010
MathSciNet: MR3429170
Digital Object Identifier: 10.36045/bbms/1447856058

Subjects:
Primary: 55P50
Secondary: 55P62

Keywords: Gorenstein space , Rational homotopy theory , string topology

Rights: Copyright © 2015 The Belgian Mathematical Society

Vol.22 • No. 4 • november 2015
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