Topology

The theory of Quantum Groups is a rapidly developing areawith numerous applications in mathematics and theoreticalphysics, e.

In recent years, many students have been introduced to topology in high school mathematics.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

The book, based on the INdAM Workshop "e;Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology"e; provides a bridge between different communities of mathematicians who utilize splines in their work.

The main subjects of the Siegen Topology Symposium are reflected in this collection of 16 research and expository papers.

This book is not an intellectual history or popular summary of recent work on consciousness in humans.

This book presents the interplay between topological Markov shifts and Cuntz–Krieger algebras by providing notations, techniques, and ideas in detail.

This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional systems.

For many years, algebraic topology rests on three legs: "e;ordinary"e; cohomology, K-theory, and cobordism.

This work was initiated in the summer of 1985 while all of the authors were at the Center of Nonlinear Studies of the Los Alamos National Laboratory; it was then continued and polished while the authors were at Indiana Univer- sity, at the University of Paris-Sud (Orsay), and again at Los Alamos in 1986 and 1987.

Exercises in Analysis will be published in two volumes.

Algebraic K-Theory has become an increasingly active area of research.

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.

The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.

The term "e;stereotype space"e; was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties.

This book, which is the first of two volumes, presents, in a unique way, some of the most relevant research tools of modern analysis.

Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry.

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.

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This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds.

This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers.

The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of the knot complement.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

The central theme of this study is Artin's braid group and the many ways that the notion of a braid has proved to be important in low-dimensional topology.

This book is based on a first-year graduate course I gave three times at the University of Chicago.

This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Rado.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points.

This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992.

The main goal of the CIME Summer School on "e;Algebraic Cycles and Hodge Theory"e; has been to gather the most active mathematicians in this area to make the point on the present state of the art.

The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds.

This book presents a topological approach to combinatorial configurations, in particular graphs, by introducing a new pair of homology and cohomology via polyhedra.

Provides a comprehensive and self-contained introduction to sub-Riemannian geometry and its applications.

The articles in this volume are devoted to:- moduli of coherent sheaves;- principal bundles and sheaves and their moduli;- new insights into Geometric Invariant Theory;- stacks of shtukas and their compactifications;- algebraic cycles vs.

Aus den Rezensionen: "Was das Buch vor allem auszeichnet, ist die unkonventionelle Darstellungsweise.

This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions.

The goal of this book is to investigate further the interdisciplinary interaction between Mathematical Analysis and Topology.

'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems .

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9-11 December 2018.

A fundamental object of study in group theory is the lower central series of groups.

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras.