Translation Groupoids and Orbifold Bredon Cohomology

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. We use this result to define an orbifold version of Bredon cohomology.

29 pages, we have added further details and examples; this paper will appear in the Canadian Journal of Mathematics

References in corpus (3)

• A New Cohomology Theory for Orbifold
• Orbifolds as Groupoids: an Introduction
• Orbifold Quantum Cohomology

Cited by in corpus (4)

• Equivariant Cohomotopy implies orientifold tadpole cancellation
• Differential orbifold K-Theory
• Representations of orbifold groupoids
• Proper Orbifold Cohomology