The Geometric Hopf Invariant and Surgery Theory 2025 pdf epub mobi 电子书

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发表于2025-01-11

The Geometric Hopf Invariant and Surgery Theory 2025 pdf epub mobi 电子书

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出版者:Springer

作者:Michael Crabb

出品人:

页数:397

译者:

出版时间:2017

价格:0

装帧:

isbn号码:9783319713052

丛书系列:

图书标签: topology

The Geometric Hopf Invariant and Surgery Theory 2025 pdf epub mobi 电子书图书描述

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.

Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists.

Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.

The Geometric Hopf Invariant and Surgery Theory 2025 pdf epub mobi 电子书

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