The Geometric Hopf Invariant and Surgery Theory

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book The Geometric Hopf Invariant and Surgery Theory by Michael Crabb, Andrew Ranicki, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Michael Crabb, Andrew Ranicki ISBN: 9783319713069
Publisher: Springer International Publishing Publication: January 24, 2018
Imprint: Springer Language: English
Author: Michael Crabb, Andrew Ranicki
ISBN: 9783319713069
Publisher: Springer International Publishing
Publication: January 24, 2018
Imprint: Springer
Language: English

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. 

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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. 

More books from Springer International Publishing

Cover of the book Primary School Leadership in Post-Conflict Rwanda by Michael Crabb, Andrew Ranicki
Cover of the book New Frontiers in Mining Complex Patterns by Michael Crabb, Andrew Ranicki
Cover of the book Integer Programming and Combinatorial Optimization by Michael Crabb, Andrew Ranicki
Cover of the book Finite Elements Methods in Mechanics by Michael Crabb, Andrew Ranicki
Cover of the book Privacy and Criminal Justice by Michael Crabb, Andrew Ranicki
Cover of the book Communication Systems and Networks by Michael Crabb, Andrew Ranicki
Cover of the book Information Systems Architecture and Technology: Proceedings of 39th International Conference on Information Systems Architecture and Technology – ISAT 2018 by Michael Crabb, Andrew Ranicki
Cover of the book China and Africa by Michael Crabb, Andrew Ranicki
Cover of the book Nitrite and Nitrate in Human Health and Disease by Michael Crabb, Andrew Ranicki
Cover of the book Regional Analysis of Time-Fractional Diffusion Processes by Michael Crabb, Andrew Ranicki
Cover of the book Corneal Regeneration by Michael Crabb, Andrew Ranicki
Cover of the book Challenges In Mechanics of Time-Dependent Materials and Processes in Conventional and Multifunctional Materials, Volume 2 by Michael Crabb, Andrew Ranicki
Cover of the book Women's Evolving Lives by Michael Crabb, Andrew Ranicki
Cover of the book Public Participation as a Tool for Integrating Local Knowledge into Spatial Planning by Michael Crabb, Andrew Ranicki
Cover of the book Job Scheduling Strategies for Parallel Processing by Michael Crabb, Andrew Ranicki
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy