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Translation Groupoids and Orbifold Cohomology
Published online by Cambridge University Press: 20 November 2018
Abstract
We show that the bicategory of (representable) orbifolds and good maps is equivalent to the bicategory of orbifold translation groupoids and generalized equivariant maps, giving a mechanism for transferring results from equivariant homotopy theory to the orbifold category. As an application, we use this result to define orbifold versions of a couple of equivariant cohomology theories: $K$-theory and Bredon cohomology for certain coefficient diagrams.
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- Copyright © Canadian Mathematical Society 2010