Algebraic topology

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

Fields-medal winner Donaldson reviews current work, including his own, on the theory of Floer.

'Homology' as a concept became increasingly elusive during the course of the 20th century.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

This book examines interactions of polyhedral discrete geometry and algebra.

Braids and braid groups, the focus of this text, have been at the heart of important mathematical developments over the last two decades.

If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language.

This is an introductory text for a first course in algebraic topology.

Homology is a powerful tool used by mathematicians to study the properties of spaces and maps that are insensitive to small perturbations.

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics.

An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming.

How is a subway map different from other maps?

How is a subway map different from other maps?

This book is a new edition of "e;Tensors and Manifolds: With Applications to Mechanics and Relativity"e; which was published in 1992.

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors.

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property.

Bundles, connections, metrics and curvature are the 'lingua franca' of modern differential geometry and theoretical physics.

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.

Rational homotopy is a very powerful tool for differential topology and geometry.

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years.

This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years.

The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces.

This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(R^d,n) from its beginnings to recent developments.

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere.

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

An Introduction to Homological Algebra discusses the origins of algebraic topology.

This text brings the reader to the frontiers of current research in topological rings.

The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces.

This book is a survey of current topics in the mathematical theory of knots.

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.