Lectures on the topology of 3-manifolds : an introduction to the Casson invariant

The Resource Lectures on the topology of 3-manifolds : an introduction to the Casson invariant

Label

Lectures on the topology of 3-manifolds : an introduction to the Casson invariant

Title remainder

an introduction to the Casson invariant

Statement of responsibility

Nikolaĭ Saveliev

Language

eng

Summary

"Progress in low-dimensional topology has been very fast in the last two decades, leading to the solutions of many difficult problems." "Among the highlights of this period are Casson's results on the Rohlin invariant of homotopy 3-spheres, as well as his [lambda]-invariant. The purpose of this book is to provide a much-needed bridge to these modern topics. The book covers some classical topics, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and gives a brief sketch of links with the latest developments in low-dimensional topology and gauge theory." "The text will be accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic topology, including the fundamental group, basic homology theory, and Poincare duality on manifolds."--Jacket

Cataloging source

N$T

Dewey number

514/.3

Illustrations

illustrations

Index

index present

LC call number

QA613.2

LC item number

.S28 1999eb

Literary form

non fiction

Nature of contents

dictionaries
bibliography

Series statement

De Gruyter textbook

Context

Context of Lectures on the topology of 3-manifolds : an introduction to the Casson invariant

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