The generalized Hopf invariant and four-fold Toda brackets
Hideaki Oshima, Katsumi Oshima
TL;DR
This paper introduces two formulas for the generalized Hopf invariant and four-fold Toda brackets, aiding in the computation of homotopy groups of spheres, and provides new tools for algebraic topologists.
Contribution
It presents novel formulas for the generalized Hopf invariant and 4-fold Toda brackets, enhancing computational methods in homotopy theory.
Findings
Formulas facilitate calculations of homotopy groups of spheres
New computational tools for algebraic topology
Improved understanding of higher Toda brackets
Abstract
We give two formulas for the generalized Hopf invariant and 4-fold Toda brackets which are useful in computations of homotopy groups of spheres.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons