Introduction to A-infinity algebras and modules
Bernhard Keller
TL;DR
This paper provides an accessible introduction to A-infinity algebras, modules, and their derived categories, aiming to clarify foundational concepts for newcomers in the field.
Contribution
It offers a comprehensive, beginner-friendly exposition of A-infinity structures, bridging gaps in understanding for researchers new to the topic.
Findings
Clarifies the definitions and properties of A-infinity algebras and modules
Explains the construction and significance of derived categories in this context
Serves as an educational resource for learning advanced algebraic concepts
Abstract
These are expanded notes of four introductory talks on A-infinity algebras, their modules and their derived categories.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology