1,018 research outputs found
A model structure on internal categories in simplicial sets
We put a model structure on the category of categories internal to simplicial
sets whose weak equivalences are reflected by the nerve functor to bisimplicial
sets with Rezk's model structure. This model structure is shown to be Quillen
equivalent to Rezk's model structure, thus internal category are another model
for -categories.Comment: 39 page
Higher Hochschild cohomology of the Lubin-Tate ring spectrum
We give a method for computing factorization homology of \oper{E}_n-algebra
using as an input an algebraic version of higher Hochschild homology due to
Pirashvili. We then show how to compute higher Hochschild homology and
cohomology when the algebra is \'etale in a sense that we make precise. As an
application, we compute higher Hochschild cohomology of the Lubin-Tate ring
spectrum.Comment: 27 page
Brown categories and bicategories
In a Brown category of cofibrant objects, there is a model for the mapping
spaces of the hammock localization in terms of zig-zags of length 2. In this
paper we show how to assemble these spaces into a Segal category that models
the infinity-categorical localization of the Brown category.Comment: 16 page
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