Algebraic topology

A self-contained exposition of local class field theory for students in advanced algebra.

This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.

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

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.

This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970.

Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory.

Offers a comprehensive presentation of spectral spaces focussing on their topology and close connections with algebra, ordered structures, and logic.

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory.

This book is intended as a one-semester course in general topology, a.

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

This book carefully presents a unified treatment of equivariant Poincare duality in a wide variety of contexts, illuminating an area of mathematics that is often glossed over elsewhere.

This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

As part of the scientific activity in connection with the 70th birthday of the Adam Mickiewicz University in Poznan, an international conference on algebraic topology was held.

The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology.

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape.

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 Symposium on the Current State and Prospects ofMathematics was held in Barcelona from June 13 to June 18,1991.

A comprehensive, self-contained approach to global equivariant homotopy theory, with many detailed examples and sample calculations.

In recent years, there has been increasing interest and activity in the area of group actions on affine and projective algebraic varieties.

Due to the strong appeal and wide use of this monograph, it is now available in its third revised edition.

Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G.

This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory.

This book reviews recent results on low-dimensional quantumfield theories and their connection with quantum grouptheory and the theory of braided, balanced tensorcategories.

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

This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example.

Graphs on Surfaces: Dualities, Polynomials, and Knots offers an accessible and comprehensive treatment of recent developments on generalized duals of graphs on surfaces, and their applications.

A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawara's homotopy characterization of H-spaces and loop spaces.

The basics of differentiable manifolds, global calculus, differential geometry, and related topics constitute a core of information essential for the first or second year graduate student preparing for advanced courses and seminars in differential topology and geometry.

The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint operators.

This is essentially a book on singular homology and cohomology with special emphasis on products and manifolds.

This proceedings is a collection of articles on Topology and Teichmuller Spaces.

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E.

A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.

Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics.

This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory.

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

A modern, example-driven introduction to cubical diagrams and related topics such as homotopy limits and cosimplicial spaces.

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles.