Algebraic topology

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

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

This book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail.

Algebraic K-Theory plays an important role in many areas of modern mathematics: most notably algebraic topology, number theory, and algebraic geometry, but even including operator theory.

Etale cohomology is an important branch in arithmetic geometry.

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

The book is a collection of surveys and original research articles concentrating on new perspectives and research directions at the crossroads of algebraic geometry, topology, and singularity theory.

This book gives an intuitive and hands-on introduction to Topological Data Analysis (TDA).

A leading expert presents a unified concept of slenderness in Abelian categories, with numerous open problems and exercises.

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

During the Winter and spring of 1985 a Workshop in Algebraic Topology was held at the University of Washington.

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.

Since the subject of Groups of Self-Equivalences was first discussed in 1958 in a paper of Barcuss and Barratt, a good deal of progress has been achieved.

Since its very existence as a separate field within computerscience, computer graphics had to make extensive use ofnon-trivial mathematics, for example, projective geometry,solid modelling, and approximation theory.

The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics.

This ambitious and original book sets out to introduce to mathematicians (even including graduate students ) the mathematical methods of theoretical and experimental quantum field theory, with an emphasis on coordinate-free presentations of the mathematical objects in use.

This book is about new topological invariants of real- and angle-valued maps inspired by Morse-Novikov theory, a chapter of topology, which has recently raised interest outside of mathematics; for example, in data analysis, shape recognition, computer science and physics.

Tamari lattices originated from weakenings or reinterpretations of the familar associativity law.

This volume gathers the contributions from the international conference "e;Intelligence of Low Dimensional Topology 2006,"e; which took place in Hiroshima in 2006.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

This monograph provides a comprehensive treatment of the classification of small fusion systems, that is, fusion systems with few essential subgroups.

This generalization of geometry is bound to have wide- spread repercussions for mathematics as well as physics.

Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries.

This volume consists of ten lectures given at an international workshop/conference on knot theory held in July 1996 at Waseda University Conference Center.

A self-contained account of the subject of algebraic cycles and motives as it stands.

This monograph presents theoretical methods involving the Hamilton-Jacobi-Bellman formalism in conjunction with set-valued techniques of nonlinear analysis to solve significant problems in dynamics and control.

Lie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015.

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.

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

This book gives a comprehensive treatment of the Grassmannian varieties and their Schubert subvarieties, focusing on the geometric and representation-theoretic aspects of Grassmannian varieties.

Algebraic Topology is an introductory textbook based on a class for advanced high-school students at the Stanford University Mathematics Camp (SUMaC) that the authors have taught for many years.

This IMA Volume in Mathematics and its Applications TOWARDS HIGHER CATEGORIES contains expository and research papers based on a highly successful IMA Summer Program on n-Categories: Foundations and Applications.

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

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.

Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.

This is an in-depth report on the endotrivial modules, an important class of modular representations for finite groups.

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.

This proceedings book brings selected works from two conferences, the 2nd Brazil-Mexico Meeting on Singularity and the 3rd Northeastern Brazilian Meeting on Singularities, that were hold in Salvador, in July 2015.

Adopting a new universal algebraic approach, this book explores and consolidates the link between Tarski's classical theory of equidecomposability types monoids, abstract measure theory (in the spirit of Hans Dobbertin's work on monoid-valued measures on Boolean algebras) and the nonstable K-theory of rings.

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.

Fibre bundles play an important role in just about every aspect of modern geometry and topology.

This book brings together twenty essays on diverse topics in the history and science of knots.

This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples.

"e;La narraci6n literaria es la evocaci6n de las nostalgias.

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.