Algebraic topology

This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process.

This book contains the most recent progress in data assimilation in meteorology, oceanography and hydrology including land surface.

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

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.

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community.

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

This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology.

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

The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent.

This book provides the first extensive and systematic treatment of the theory of commutative coherent rings.

The 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology.

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

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 presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the "e;Higher homotopical structures"e; programme.

Noncompact symmetric and locally symmetric spaces naturally appear in many mathematical theories, including analysis (representation theory, nonabelian harmonic analysis), number theory (automorphic forms), algebraic geometry (modulae) and algebraic topology (cohomology of discrete groups).

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

This text exposes the basic features of cohomology of sheaves and its applications.

This thesis deals with specific featuresof the theory of holomorphic dynamics in dimension 2 and then sets out to studyanalogous questions in higher dimensions, e.

This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view.

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

This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis.

A complete and definitive account of the authors'' resolution of the Kervaire invariant problem in stable homotopy theory.

This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process.

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

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

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

The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence.

Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices.

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras.

Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics.

Delivers a broad, conceptual introduction to chromatic homotopy theory, focusing on contact with arithmetic and algebraic geometry.

This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(R^d,n) from its beginnings to recent developments.

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

This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry.

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.

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

Combines cutting-edge research and expository articles in Hodge theory.

This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.

Etale cohomology is an important branch in arithmetic geometry.

A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented.

Topology as a subject, in our opinion, plays a central role in university education.

The most modern and thorough treatment of unstable homotopy theory available.

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

Nato dall’esperienza dell’autore nell’insegnamento della topologia agli studenti del corso di Laurea in Matematica, questo libro contiene le nozioni fondamentali di topologia generale ed una introduzione alla topologia algebrica.