Topology

These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of `Novikov conjectures, index theorems and rigidity''.

This book is essential reading for anyone interested in low-dimensional topology.

This book considers the current state of knowledge in the geometric and algebraic aspects of two-dimensional homotopy theory.

This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author.

Proceedings of the conference held at the University of Birmingham in honour of Professor A.

This book will be of great interest to researchers into algebraic topology.

Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology.

Contains a combination of selected papers given in honour of John Frank Adams which illustrate the profound influence that he had on algebraic topology.

Professor Peter Hilton is one of the best known mathematicians of his generation.

Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

Visionary articles explaining approaches to important problems on the interface of pure mathematics and mathematical physics.

A collection of articles giving overviews and open questions in singularities and their computational aspects.

Lecture notes for graduates or researchers wishing to enter this modern field of research.

This book contains some important new contributions to the theory of structured ring spectra.

This 2007 book is a self-contained account of the subject of algebraic cycles and motives.

First collection of papers on elliptic cohomology in twenty years; represents the diversity of topics within this important field.

An introduction to noncommutative localization and an account of the state of the art suitable for researchers and graduate students.

An introduction to Ricci flow suitable for graduate students and research mathematicians.

A handbook of key articles providing both an introduction and reference for newcomers and experts alike.

These notes give a self-contained treatment of the theory of o-minimal structures.

Ideal for graduate students and researchers working in group theory and Lie rings.

This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry.

This volume will give a systematic exposition of known results for free actions by finite groups on S.

In this work the author extends results of rational homotopy theory to a subring of the rationale.

Emphasizes topological, geometrical and analytical properties of absolute measurable spaces; of interest for real analysis, set theory and measure theory.

Important monograph on finite group theory.

The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.

An elementary introduction to homology theory suitable for undergraduate courses or for self-study.

Moving frames explained in the language of undergraduate calculus, suitable for graduate students.

The most modern and thorough treatment of unstable homotopy theory available.

The first authored book to present the mathematical foundations and applications of this exciting new field.

Detailed treatment of the class of algebro-geometric solutions and their representations in terms of Riemann theta functions.

Explains new applications of the ''large sieve'', an important tool of analytic number theory, presenting potential uses beyond this area.

The first comprehensive introduction to the role of Property (T), with applications to an amazing number of fields within mathematics.

The first contemporary introduction to topological K-theory.

A comprehensive treatment of Floer homology, based on the Seiberg–Witten equations, first published in 2007.

This self-contained text is an introduction to contact topology.

The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments.

Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications.

Introduces the theory of orbifolds from a modern perspective, providing a detailed description of the Chen-Ruan cohomology.

A rapid route for graduate students and researchers to the frontiers of research in this evergreen subject, first published in 2005.

A 2007 graduate text on spectral methods with applications in fluid dynamics and engineering.

This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation.

This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.

Comprehensive survey of static topological solitons and their dynamical interactions, for graduates and researchers.

An introduction to key concepts of quantum information processing for graduates and researchers.

Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

This book presents a complete proof of Connes'' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

An introduction to the ideas of geometry and includes generous helpings of simple explanations and examples.

A monograph demonstrating remarkable and unexpected interdisciplinary connections in the areas of commutative algebra, invariant theory and algebraic topology.