1
Introduction
2
Gradings
3
Stasheff Data
4
A-infinity Categories
▶
4.1
Chains
4.2
Stasheff Identities
5
A-infinity Algebras
6
KLRW Category
▶
6.1
Overview
6.2
Computable Add
6.3
Bounded Cochain Complexes
6.4
Functor data and functor action
▶
6.4.1
Functor data
6.4.2
The action of braiding on generators
6.4.3
The action of braiding on the entire category
6.4.4
Satisfying A-\(\infty \) axioms
6.5
Proofs of the braiding functor satisfying A-\(\infty \) axioms
6.6
Generating the beta data
Dependency graph
\(A_\infty \)-Category Theory
Marco David Jason Dong Hallvard Hareide Jasper van de Kreeke Justin Mu Niels Voss Annie Yao
1
Introduction
2
Gradings
3
Stasheff Data
4
A-infinity Categories
4.1
Chains
4.2
Stasheff Identities
5
A-infinity Algebras
6
KLRW Category
6.1
Overview
6.2
Computable Add
6.3
Bounded Cochain Complexes
6.4
Functor data and functor action
6.4.1
Functor data
6.4.2
The action of braiding on generators
6.4.3
The action of braiding on the entire category
6.4.4
Satisfying A-\(\infty \) axioms
6.5
Proofs of the braiding functor satisfying A-\(\infty \) axioms
6.6
Generating the beta data