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math.AT2016
Homotopy of Planar Lie Group Equivariant Presheaves
Scott Balchin
We utilise the theory of crossed simplicial groups to introduce a collection of local Quillen model structures on the category of simplicial presheaves with a compact planar Lie gr…
math.CT2016
Crossed Simplicial Group Categorical Nerves
Scott Balchin
We extend the notion of the nerve of a category for a small class of crossed simplicial groups, explicitly describing them using generators and relations. We do this by first consi…