The loop homology algebra of discrete torsion
Algebraic Topology
2021-01-21 v3
Abstract
We show that Lupercio-Uribe-Xicot\'{e}ncatl's orbifold loop product and coproduct can be described by a group cohomology class in some cases. By computing this cohomology class, we show that in some cases the orbifold loop product is trivial.
Cite
@article{arxiv.1807.11165,
title = {The loop homology algebra of discrete torsion},
author = {Yasuhiko Asao},
journal= {arXiv preprint arXiv:1807.11165},
year = {2021}
}
Comments
There is a crucial mistake in Proposition 4.2 where constructing a cocycle