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Algebraic topology books

See below for a selection of the latest books from Algebraic topology category. Presented with a red border are the Algebraic topology books that have been lovingly read and reviewed by the experts at Lovereading.

With expert reading recommendations made by people with a passion for books and some unique features Lovereading will help you find great Algebraic topology books and those from many more genres to read that will keep you inspired and entertained. And it's all free!


Recently Published

The Geometric Hopf Invariant and Surgery Theory by Michael Crabb, Andrew Ranicki The Geometric Hopf Invariant and Surgery Theory
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Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in...
Format: Hardback - Released: 06/02/2018

Algebraic Topology VIASM 2012-2015 by H. V. Hung Nguyen Algebraic Topology VIASM 2012-2015

Held during algebraic topology special sessions at the Vietnam Institute for Advanced Studies in Mathematics (VIASM, Hanoi), this set of notes consists of expanded versions of three courses given by G.
Format: Paperback - Released: 10/01/2018

Lectures on Geometry by Edward Witten, Helmut Hofer, Rahul Pandharipande, Marc Lackenby Lectures on Geometry
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This volume contains a collection of papers based on lectures delivered by distinguished mathematicians at Clay Mathematics Institute events over the past few years. It is intended to be the first in an occasional series of volumes of CMI lectures.
Format: Hardback - Released: 26/01/2017

Equivariant Ordinary Homology and Cohomology by Stefan Waner Equivariant Ordinary Homology and Cohomology

Filling a gap in the literature, this book takes the reader to the frontiers of equivariant topology, the study of objects with specified symmetries. Aimed at advanced graduate students and researchers in algebraic topology and related fields, the book assumes...
Format: Paperback - Released: 03/01/2017

Banach Spaces of Continuous Functions as Dual Spaces by H. Garth Dales, Fred Dashiell, Anthony To-Ming Lau, Dona Strauss Banach Spaces of Continuous Functions as Dual Spaces
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This book gives a coherent account of the theory of Banach spaces and Banach lattices, using the spaces C_0(K) of continuous functions on a locally compact space K as the main example. It gives several new constructions, some involving Boolean...
Format: Hardback - Released: 27/12/2016

Knot Theory and Its Applications by Krishnendu Gongopadhyay Knot Theory and Its Applications

This volume contains the proceedings of the ICTS program Knot Theory and Its Applications (KTH-2013), held from December 10-20, 2013, at IISER Mohali, India. The meeting focused on the broad area of knot theory and its interaction with other disciplines...
Format: Paperback - Released: 30/10/2016

Deformations of Surface Singularities by Andras Nemethi Deformations of Surface Singularities

The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples.
Format: Paperback - Released: 01/10/2016

Basic Algebraic Topology and its Applications by Mahima Ranjan Adhikari Basic Algebraic Topology and its Applications

This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic...
Format: Hardback - Released: 17/09/2016

Coming Soon

Problems on Mapping Class Groups and Related Topics by Benson Farb Problems on Mapping Class Groups and Related Topics

Contains problems about mapping class groups, the moduli space of Riemann surfaces, and Teichmuller geometry. This book concentrates on connections with classification problems in 3-manifold theory, the theory of symplectic 4-manifolds, and algebraic geometry. It is suitable for those studying...
Format: Hardback - Released: 02/03/2018

Introduction to the H-principle by Introduction to the H-principle

Covers two main methods for proving the $h$-principle: holonomic approximation and convex integration. This book places emphasis on applications to symplectic and contact geometry. It is suitable for a graduate course on geometric methods for solving partial differential equations and...
Format: Hardback - Released: 05/03/2018

An Introduction to Morse Theory by An Introduction to Morse Theory

In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study...
Format: Paperback - Released: 05/03/2018

Geometry of Differential Forms by Geometry of Differential Forms

Presents a comprehensive introduction to differential forms. This work begins with a presentation of the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results about them, such as the de Rham and...
Format: Paperback - Released: 05/03/2018

The Wild World of 4-Manifolds by Alexandru Scorpan The Wild World of 4-Manifolds

Dimension four is unlike any other dimension; it is large enough to have room for wild things to happen, but too small to have room to undo them. For example, only manifolds of dimension four can exhibit infinitely many distinct...
Format: Hardback - Released: 05/03/2018

Lecture Notes in Algebraic Topology by Lecture Notes in Algebraic Topology

The amount of algebraic topology a graduate student specializing in topology must learn can be intimidating. This title bridges the gap between algebraic and geometric topology, both by providing the algebraic tools that a geometric topologist needs and by concentrating...
Format: Hardback - Released: 05/03/2018

Casson's Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36) by Selman Akbulut, John D. McCarthy Casson's Invariant for Oriented Homology Three-Spheres: An Exposition. (MN-36)
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In the spring of 1985, A. Casson announced an interesting invariant of homology 3-spheres via constructions on representation spaces. This invariant generalizes the Rohlin invariant and gives surprising corollaries in low-dimensional topology. In the fall of that same year, Selman...
Format: Hardback - Released: 06/03/2018

Recent Advances in Homotopy Theory by Recent Advances in Homotopy Theory


Format: Paperback - Released: 06/03/2018

Homotopy Theory of Schemes by Fabien Morel Homotopy Theory of Schemes

Presents a framework for applying the standard methods from homotopy theory to the category of smooth schemes over a base scheme $k$. This text defines the homotopy category $h(\mathcal{E}_k)$ of smooth $k$-schemes and shows that it plays the same role...
Format: Paperback - Released: 09/03/2018

Geometrical Themes Inspired by the N-body Problem by Luis Hernandez-Lamoneda Geometrical Themes Inspired by the N-body Problem

Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and...
Format: Paperback - Released: 25/03/2018

Hilbert Schemes of Points and Infinite Dimensional Lie Algebras by Zhenbo Qin Hilbert Schemes of Points and Infinite Dimensional Lie Algebras

Hilbert schemes, which parametrize subschemes in algebraic varieties, have been extensively studied in algebraic geometry for the last 50 years. The most interesting class of Hilbert schemes are schemes $X^{[n]}$ of collections of $n$ points (zero-dimensional subschemes) in a smooth...
Format: Hardback - Released: 30/03/2018

Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem by Grant (University of Manchester) Walker, Reginald M. W. (University of Manchester) Wood Polynomials and the mod 2 Steenrod Algebra: Volume 1, The Peterson Hit Problem
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The first of two volumes covering the Steenrod algebra and its various applications. Suitable as a graduate text.
Format: Paperback - Released: 00/04/2018

Singularities and Foliations. Geometry, Topology and Applications BMMS 2/NBMS 3, Salvador, Brazil, 2015 by Raimundo Nonato Araujo dos Santos Singularities and Foliations. Geometry, Topology and Applications BMMS 2/NBMS 3, Salvador, Brazil, 2015

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.
Format: Hardback - Released: 05/04/2018

Other books in this genre

Fundamentals of Algebraic Topology by Steven H. Weintraub Fundamentals of Algebraic Topology

This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long...
Format: Paperback - Released: 10/09/2016

Homotopical Topology by Anatoly Fomenko, Dmitry Fuchs Homotopical Topology
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This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology;
Format: Hardback - Released: 25/06/2016

Essays in Mathematics and its Applications In Honor of Vladimir Arnold by Themistocles M. Rassias Essays in Mathematics and its Applications In Honor of Vladimir Arnold

This volume, dedicated to the eminent mathematician Vladimir Arnold, presents a collection of research and survey papers written on a large spectrum of theories and problems that have been studied or introduced by Arnold himself.
Format: Hardback - Released: 15/06/2016

Foundations of Algebraic Topology by Samuel Eilenberg, Norman Steenrod Foundations of Algebraic Topology
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The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra. Originally published in...
Format: Hardback - Released: 19/04/2016

Topologie Algebrique Chapitres 1 a 4 by N Bourbaki Topologie Algebrique Chapitres 1 a 4


Format: Paperback - Released: 07/04/2016

A Cp-Theory Problem Book Functional Equivalencies by Vladimir V. Tkachuk A Cp-Theory Problem Book Functional Equivalencies

The reader will also find introductions to the theory of uniform spaces, the theory of locally convex spaces, as well as the theory of inverse systems and dimension theory.
Format: Hardback - Released: 05/04/2016

Directed Algebraic Topology and Concurrency by Lisbeth Fajstrup, Eric Goubault, Emmanuel Haucourt, Samuel Mimram Directed Algebraic Topology and Concurrency
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This monograph presents an application of concepts and methods from algebraic topology to models of concurrent processes in computer science and their analysis.Taking well-known discrete models for concurrent processes in resource management as a point of departure, the book goes...
Format: Hardback - Released: 02/03/2016

Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics by Emil Prodan, Hermann Schulz-Baldes Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics
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This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry.
Format: Hardback - Released: 06/02/2016

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