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math.AT2015
(Co)homology of Spectral Categories
Jonathan A. Campbell
In this article we develop the cotangent complex and (co)homology theories for spectral categories. Along the way, we reproduce standard model structures on spectral categories. As…
math.AT2015
The K-Theory Spectrum of Varieties
Jonathan A. Campbell
Using a construction closely related to Waldhausen's -construction, we produce a spectrum whose components model the Grothendieck ring of varietie…