Algebraic topology

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.

as well as by the list of open problems in the final section of this monograph.

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.

The papers in this collection, all fully refereed, originalpapers, reflect many aspects of recent significant advancesin homotopy theory and group cohomology.

This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod.

These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of ''Novikov Conjectures, Index Theorems and Rigidity''.

The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes.

Computational engineering is the treatment of engineering tasks with computers.

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

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

In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter.

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

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

This book gives a detailed presentation of twisted Morse homology and cohomology on closed finite-dimensional smooth manifolds.

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.

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters.

Ideal for graduate students and researchers working in group theory and Lie rings.

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.

Many, perhaps most textbooks of quantum mechanics present a Copenhagen, single system angle; fewer present the subject matter as an instrument for treating ensembles, but the two methods have been silently coexisting since the mid-Thirties.

This book discusses major topics in measure theory, Fourier transforms, complex analysis and algebraic topology.

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.

In recent years new topological methods, especially the theory of sheaves founded by J.

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.

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

The theory of surgery on manifolds has been generalized to categories of manifolds with group actions in several different ways.

This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples.

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

These proceedings contain the contributions of some of the participants in the "e;intensive research period"e; held at the De Giorgi Research Center in Pisa, during the period May-June 2010.

This book introduces the reader to the most important concepts and problems in the field of l2-invariants.

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

Develops a full set of homotopical algebra techniques dedicated to the study of higher categories.

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

The theme of this symposium was operator algebras in a wide sense.

From the reviews: This book is devoted to the study of sheaves by microlocal methods.

This categorical perspective on homotopy theory helps consolidate and simplify one''s understanding of derived functors, homotopy limits and colimits, and model categories, among others.

In singularity theory and algebraic geometry the monodromy group is embodied in the Picard-Lefschetz formula and the Picard-Fuchs equations.

This manuscript is devoted to classifying the isomorphism classes of the virtually cyclic subgroups of the braid groups of the 2-sphere.

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.