Algebraic topology

This book constitutes the proceedings of the 6th International Workshop on Computational Topology in Image Context, CTIC 2016, held in Marseille, France, in June 2016.

This is the third version of a book on differential manifolds.

This handbook offers a compilation of techniques and results in K-theory.

Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines.

Lectures: K.

The Proceedings volume is divided into two parts.

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 monograph covers topics in the cohomology of monoids up through recent developments.

This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018.

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

This book is an elementary introduction to some ideas and techniques that have revolutionized enumerative geometry: stable maps and quantum cohomology.

This monograph is based, in part, upon lectures given in the Princeton School of Engineering and Applied Science.

One of the most significant unsolved problems in mathematics is the complete classification of knots.

These notes are an expanded and updated version of a course of lectures which I gave at King's College London during the summer term 1979.

The purpose of this book is to present the available (sometimes only partial) solutions to the two fundamental problems: the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface.

The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory.

The first book to deal comprehensively with the theory of fusion systems.

This book constitutes the proceedings of the 4th International Workshop on Computational Topology in Image Context, CTIC 2012, held in Bertinoro, Italy, in May 2012.

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

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

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties.

In knot theory, diagrams of a given canonical genus can be described by means of a finite number of patterns ("e;generators"e;).

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions.

An arrangement of hyperplanes is a finite collection ofcodimension one affine subspaces in a finite dimensionalvector space.

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

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach.

Symmetry has a strong impact on the number and shape ofsolutions to variational problems.

This textbook provides a succinct introduction to algebraic topology.

The KK-theory of Kasparov is now approximately twelve years old; its power, utility and importance have been amply demonstrated.

These are notes from a graduate student course on algebraic topology and K-theory given by Daniel Quillen at the Massachusetts Institute of Technology during 1979-1980.

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.

Semantics of Parallelism is the only book which provides a unified treatment of the non-interleaving approach to process semantics (as opposed to the interleaving approach of the process algebraists).

The idea of this book originated from two series of lectures given by us at the Physics Department of the Catholic University of Petr6polis, in Brazil.

This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions.

From the Preface: K-theory was introduced by A.

This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article.

K -Theory has revolutionized the study of operator algebras in the last few years.

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.

The body of work presented in this book comes from research carried out since 2017 as part of the international "e;Actualite de Rene Thom"e; project.

This book studies certain spaces of Riemannian metrics on both compact and non-compact manifolds.

This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s-1960s.

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

This book provides an introduction to the main geometric structures that are carried by compact surfaces, with an emphasis on the classical theory of Riemann surfaces.