Higher Toda brackets and Massey products
Hans-Joachim Baues, David Blanc, Shilpa Gondhali
TL;DR
This paper introduces a unified framework for defining higher order Toda brackets applicable across various mathematical contexts, including topology and algebra.
Contribution
It offers a general, uniform definition of higher Toda brackets that encompasses existing cases like topological spaces, chain complexes, and differential graded algebras.
Findings
Unified definition of higher Toda brackets.
Coverage of known cases like Massey products.
Potential for broader applications in algebra and topology.
Abstract
We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and chain complexes and Massey products for differential graded algebras, among others.
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