The loop homology algebra of discrete torsion

Abstract

We show that Lupercio-Uribe-Xicoténcatl'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.

arXiv commentThere is a crucial mistake in Proposition 4.2 where constructing a cocycle