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math.CT2020
Compact closed categories and -categories (with an appendix by André Joyal)
Amit Sharma
In this paper we study compact closed categories within the context of homotopical algebra. We construct two new model category structures by localizing two (Quillen equivalent) mo…
math.CT2020
A higher Grothendieck construction
Amit Sharma
The main objective of this paper is to construct a homotopy colimit functor on a category of functors taking values in the model category of quasi-categories.
math.CT2020
Picard groupoids and -categories
Amit Sharma
In this paper we construct a symmetric monoidal closed model category of coherently commutative Picard groupoids. We construct another model category structure on the category of (…