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# ðŸ“™ 4-manifolds and Kirby calculus by Andras I. Stipsicz Robert E. Gompf â€” free epub

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The past two decades have brought explosive growth in 4-manifold theory. Many books are currently appearing that approach the topic from viewpoints such as gauge theory or algebraic geometry. This volume, however, offers an exposition from a topological point of view. It bridges the gap to other disciplines and presents classical but important topological techniques that have not previously appeared in the literature. Part I of the text presents the basics of the theory at the second-year graduate level and offers an overview of current research. Part II is devoted to an exposition of Kirby calculus, or handlebody theory on 4-manifolds. It is both elementary and comprehensive. Part III offers in depth a broad range of topics from current 4-manifold research. Topics include branched coverings and the geography of complex surfaces, elliptic and Lefschetz fibrations, $h$-cobordisms, symplectic 4-manifolds, and Stein surfaces. Applications are featured, and there are over 300 illustrations and numerous exercises with solutions in the book

## About book:

## About file:

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- Series:
**Graduate Studies in Mathematics 020** - Author:
**Andras I. Stipsicz Robert E. Gompf** - Year:
**1999** - Publisher:
**American Mathematical Society** - Language:
**English** - ISBN:
**0-8218-0994-6,9780821809945,366-385-385-3**

- File size:
**3 302 927** - Format:
**pdf**

Security code:

This book is an introduction to the remarkable work of Vaughan Jones and Victor Vassiliev on knot and link invariants and its recent modifications and generalizations, including a mathematical treatment of Jones-Witten invariants. It emphasizes th...

Â This two-volume textbook Comprehensive Mathematics for the Working Computer Scientist is a self-contained comprehensive presentation of mathematics including sets, numbers, graphs, algebra, logic, grammars, machines, linear geometry, calculus, ODEs, and...

This book provides an easy introduction to the theory of differentiable manifolds. The authors then show how the theory can be used to develop, simply but rigorously, the theory of Lanrangian mechanics directly from Newton's laws. Unnecessary abstraction ...

This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are n...

The publication of this book in 1970 marked the culmination of a particularly exciting period in the history of the topology of manifolds. The world of high-dimensional manifolds had been opened up to the classification methods of algebraic topology by Th...

A readable introduction to the subject of calculus on arbitrary surfaces or manifolds. Accessible to readers with knowledge of basic calculus and linear algebra. Sections include series of problems to reinforce concepts....

This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds.Designed for advanced undergraduate and ...

What is calculus really for? It helps tell us how - and why - things change with time. This is the purpose of dynamics, which lies at the heart of much of applied mathematics, science and engineering. Acheson explains why student mathematics is useful by ...

An introduction to the calculus, with an excellent balance between theory and technique. Integration is treated before differentiation - this is a departure from most modern texts, but it is historically correct, and it is the best way to establish the tr...

Design, configure, and manage MPLS TE to optimize network performance Almost every busy network backbone has some congested links while others remain underutilized. That's because shortest-path routing protocols send traffic down the path that is shortest...

This official MCAD/MCSD TRAINING KIT teaches professional developers how to create Windows applications with the Microsoft .NET Framework as they prepare for MCP Exams 70-306 and 70-316-core requirements on the MCAD/MCSD tracks. Students learn through an ...

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