Algebraic topology

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

A graph complex is a finite family of graphs closed under deletion of edges.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

The first detailed elementary introduction to (non-abelian) Galois cohomology.

From the reviews:"e;The author has attempted an ambitious and most commendable project.

The first contribution covers the theory of finite groups of Lie type, which is an important field of current mathematical research.

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

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

Homotopy theory and C* algebras are central topics in contemporary mathematics.

This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference.

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles.

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

Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry.

The second of two volumes covering the Steenrod algebra and its various applications.

This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values.

Differential and complex geometry are two central areas of mathematics with a long and intertwined history.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

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.

In the Fall of 1975 we started a joint project with the ultimate goal of topo- logically classifying real algebraic sets.

The two parts of the present volume contain extended conference abstracts corresponding to selected talks given by participants at the "e;Conference on Geometric Analysis"e; (thirteen abstracts) and at the "e;Conference on Type Theory, Homotopy Theory and Univalent Foundations"e; (seven abstracts), both held at the Centre de Recerca Matematica (CRM) in Barcelona from July 1st to 5th, 2013, and from September 23th to 27th, 2013, respectively.

This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field.

The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

This is a memorial volume to the distinguished Canadian-born mathematician Hugh Dowker.

There is a canard that every textbook of algebraic topology either ends with the definition of the Klein bottle or is a personal communication to J.

This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.

This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics withinthe field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topological K-theory of topological algebras, the K-theory of schemes, and the theory of dg-categories.

Kazhdan and Lusztig classified the simple modules of an affine Hecke algebra Hq (q E C*) provided that q is not a root of 1 (Invent.

This book demonstrates the lively interaction between algebraic topology, very low dimensional topology and combinatorial group theory.

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.

Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology.

This work introduces tools, from the field of category theory, that make it possible to tackle until now unsolvable representation problems (determination of the range of a given functor).

This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation.

This is a state-of-the-art introduction to the work of Franz Reidemeister, Meng Taubes, Turaev, and the author on the concept of torsion and its generalizations.

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

This book serves as a textbook in real analysis.

The book focuses on the relation between transformation groups and algebraic K-theory.

An authoritative introduction to the essential features of etale cohomologyA.