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arxiv: 1807.11165 · v3 · pith:BXBLK5BEnew · submitted 2018-07-30 · 🧮 math.AT

The loop homology algebra of discrete torsion

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keywords loopcasesclasscohomologyorbifoldproductsomealgebra
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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.

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