Growth of homotopy groups of spheres via the Goodwillie–EHP sequence

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چکیده

We bound the volume of homotopy groups 2-local Goodwillie approximations a sphere in terms amount 2-torsion stable stems, providing Goodwillie-theoretic refinement result Burklund and Senger. At 2 k $2^k$ -excisive approximation, this is obtained by ‘multiplying answer polynomial degree $k$ ’. The main tool Behrens' Goodwillie–EHP long exact sequence.

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ژورنال

عنوان ژورنال: Bulletin of The London Mathematical Society

سال: 2023

ISSN: ['1469-2120', '0024-6093']

DOI: https://doi.org/10.1112/blms.12807