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Cambridge University Press Equivariant Stable Homotopy Theory - Kervaire Invariant Problem

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Description

This landmark mathematical monograph from Cambridge University Press presents the definitive solution to the Kervaire invariant problem, one of homotopy theory's most significant challenges since the 1960s. Originally announced in 2009 and published in the Annals of Mathematics, the proof employs sophisticated equivariant stable homotopy theory techniques developed in modern mathematics. The book provides a complete treatment of the solution alongside comprehensive background material, making advanced concepts accessible to researchers and graduate students working in algebraic topology, differential geometry, and related fields. Volume 40 in the New Mathematical Monographs series, this work bridges the gap between specialist research and broader mathematical understanding by presenting both the intricate proof and the essential theoretical framework needed to grasp its revolutionary implications for homotopy theory and geometric topology.

Key Features

Presents the complete 2009 solution to the Kervaire invariant problem, a decades-long open question in homotopy theory.

Develops equivariant stable homotopy theory from foundational concepts, ensuring accessibility for advanced graduate students and researchers.

Cambridge University Press publication as Volume 40 of the New Mathematical Monographs series, establishing authoritative academic credibility.

Includes all background material necessary to understand the proof without assuming prior expertise in modern equivariant homotopy theory.

Covers applications to geometric and differential topology, connecting abstract homotopy theory to classical topological problems.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
29 July 2021
Listed Since
16 September 2020

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