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2018 Loop homology of some global quotient orbifolds
Yasuhiko Asao
Algebr. Geom. Topol. 18(1): 613-633 (2018). DOI: 10.2140/agt.2018.18.613

Abstract

We determine the ring structure of the loop homology of some global quotient orbifolds. We can compute by our theorem the loop homology ring with suitable coefficients of the global quotient orbifolds of the form [ M G ] for M being some kinds of homogeneous manifolds, and G being a finite subgroup of a path-connected topological group G acting on M . It is shown that these homology rings split into the tensor product of the loop homology ring ( L M ) of the manifold M and that of the classifying space of the finite group, which coincides with the center of the group ring Z ( k [ G ] ) .

Citation

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Yasuhiko Asao. "Loop homology of some global quotient orbifolds." Algebr. Geom. Topol. 18 (1) 613 - 633, 2018. https://doi.org/10.2140/agt.2018.18.613

Information

Received: 8 June 2017; Revised: 11 July 2017; Accepted: 18 August 2017; Published: 2018
First available in Project Euclid: 1 February 2018

zbMATH: 1385.55006
MathSciNet: MR3748255
Digital Object Identifier: 10.2140/agt.2018.18.613

Subjects:
Primary: 55N45, 55N91, 55P35, 55P91

Rights: Copyright © 2018 Mathematical Sciences Publishers

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Vol.18 • No. 1 • 2018
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