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#### Equivariant Degree Theory

De Gruyter 2003; US$ 210.00This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree... more...

#### Rigid Cohomology

Cambridge University Press 2007; US$ 116.00 US$ 95.12The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments. more...

#### Suites de Sturm, indice de Maslov et périodicité de Bott

Birkhäuser Basel 2008; US$ 69.99La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d?un polynôme à coefficients réels contenues dans un intervalle donné. L?objet principal de ce mémoire est de montrer qu?une généralisation adéquate de la théorie des suites de Sturm fournit entre autres choses: une notion d?indice de Maslov pour... more...

#### Braid Groups

Springer New York 2008; US$ 64.95In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence; this is followed by a treatment of the relationship between braids, knots and links. Important results then treat the linearity and orderability of the... more...

#### Lectures on Homotopy Theory

Elsevier Science 1992; US$ 72.95The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the n th homotopy group of the sphere S n , for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of S n are... more...

#### The Mathematical Theory of Knots and Braids

Elsevier Science 2000; US$ 255.00This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is... more...

#### Algebraic Models in Geometry

OUP Oxford 2008; US$ 62.99 US$ 54.17A text aimed at both geometers needing the tools of rational homotopy theory to understand and discover new results concerning various geometric subjects, and topologists who require greater breadth of knowledge about geometric applications of the algebra of homotopy theory. more...

#### From Quantum Cohomology to Integrable Systems

OUP Oxford 2008; US$ 97.99 US$ 84.27This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas of traditional mathematics and new areas such as mirror symmetry. Aimed at graduate students in mathematics as well as theoretical physicists, the text assumes basic familiarity with differential equations and cohomology. more...

#### Stable Homotopy Around the Arf-Kervaire Invariant

Birkhäuser Basel 2009; US$ 139.00This book describes key techniques of stable homotopy theory, classical and new, and applies them to the unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. It introduces a new technique called "upper triangular technology." more...