Algebraic topology books

This is an essential book for the computational mathematician wanting to understand the background, motivation,...  Read More >>

Features works in topology written during the 1950s-1960s. This book book covers the beautiful ensemble of methods...  Read More >>

This book supplies a modern exposition of these ideas, emphasizing model category theoretical techniques.Discussed...  Read More >>

The 2007 Abel Symposium took place at the University of Oslo in August 2007. The goal of the symposium was to bring...  Read More >>

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Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable:...  Read More >>

This book examines interactions of polyhedral discrete geometry and algebra. What makes this book unique is the...  Read More >>

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This book contributes to important questions in modern representation theory of finite groups. It introduces and...  Read More >>

Since the inception of algebraic topology [217] the study of homotopy classes of continuous maps between spheres...  Read More >>

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Since the discovery that Artin's braid groups enjoy a left-invariant linear ordering, several quite different approaches...  Read More >>

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith...  Read More >>

A fundamental object of study in group theory is the lower central series of groups. In addition to group theorists,...  Read More >>

The purpose of this text is to provide a self-contained development of the trace formula and theta inversion formula...  Read More >>

however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of...  Read More >>

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La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d’un polynôme...  Read More >>

Determines all hyperbolic $3$-manifolds $M$ admitting two toroidal Dehn fillings at distance $4$ or $5$.  Read More >>

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Focuses on the interaction between the curvature of a complete Riemannian manifold and its topology and global geometry....  Read More >>

A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results...  Read More >>

This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas...  Read More >>

A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results...  Read More >>