Pontryagin--Thom for orbifold bordism
Pontryagin--Thom for orbifold bordism
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John Pardon, Princeton University
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The classical Pontryagin鈥揟hom isomorphism equates manifold bordism groups with corresponding stable homotopy groups.听 This construction moreover generalizes to the equivariant context.听 I will discuss work which establishes a Pontryagin--Thom isomorphism for orbispaces (an orbispace is a "space" which is locally modelled on Y/G for Y a space and G a finite group; examples of orbispaces include orbifolds and moduli spaces of pseudo-holomorphic curves).听 This involves defining a category of orbispectra and an involution of this category