Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 1 (2018), 613-633.
Loop homology of some global quotient orbifolds
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 for being some kinds of homogeneous manifolds, and being a finite subgroup of a path-connected topological group acting on . It is shown that these homology rings split into the tensor product of the loop homology ring of the manifold and that of the classifying space of the finite group, which coincides with the center of the group ring .
Algebr. Geom. Topol., Volume 18, Number 1 (2018), 613-633.
Received: 8 June 2017
Revised: 11 July 2017
Accepted: 18 August 2017
First available in Project Euclid: 1 February 2018
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Asao, Yasuhiko. Loop homology of some global quotient orbifolds. Algebr. Geom. Topol. 18 (2018), no. 1, 613--633. doi:10.2140/agt.2018.18.613. https://projecteuclid.org/euclid.agt/1517454228