Constructing symmetric monoidal bicategories
Michael A. Shulman
TL;DR
This paper introduces a method to construct symmetric monoidal bicategories from certain symmetric monoidal double categories, broadening the tools available for their study in mathematical and theoretical contexts.
Contribution
The paper provides a new construction technique for symmetric monoidal bicategories using symmetric monoidal double categories with a lifting condition.
Findings
Applicable to many naturally occurring symmetric monoidal double categories
Enables systematic construction of symmetric monoidal bicategories
Expands the toolkit for higher category theory
Abstract
We present a method of constructing symmetric monoidal bicategories from symmetric monoidal double categories that satisfy a lifting condition. Such symmetric monoidal double categories frequently occur in nature, so the method is widely applicable, though not universally so.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Algebraic structures and combinatorial models