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 structure whose fibrant objects are (essentially) those coCartesian fibrations which represent objects that are known as symmetric monoidal quasi-categories in the literature. We go on to establish a zig zag of Quillen equivalences between the two model categories.

Keywords: Symmetric monoidal quasi-categories, coherently commutative monoidal quasi-categories

2020 MSC: 18N60, 18M05, 18N40, 18N55, 18F25, 19D23

Theory and Applications of Categories, Vol. 37, 2021, No. 16, pp 418-481.

Published 2021-04-26.


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