2 citations · 3 across the 7 of their papers we have counts for
8 papers
coCartesian fibrations and homotopy colimits
Amit Sharma
The main objective of this paper is to show that the homotopy colimit of a diagram of quasi-categories and indexed by a small category is a localization of Lurie's higher Grothendi…
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…
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.
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 (…
A homotopy theory of coherently commutative monoidal quasi-categories
Amit Sharma
The main objective of this paper is to construct a symmetric monoidal closed model category of coherently commutative monoidal quasi-categories. We construct another model category…
Symmetric monoidal categories and -categories
Amit Sharma
In this paper we construct a symmetric monoidal closed model category of coherently commutative monoidal categories. The main aim of this paper is to establish a Quillen equivalenc…
On the homotopy theory of - spaces
Amit Sharma
The aim of this paper is to show that the most elementary homotopy theory of -spaces is equivalent to a homotopy theory of simplicial sets over , where $\m…
Categorification of Dijkgraaf-Witten Theory
Amit Sharma, Alexander A. Voronov
The goal of the paper is to categorify Dijkgraaf-Witten theory, aiming at providing foundation for a direct construction of Dijkgraaf-Witten theory as an Extended Topological Quant…