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#### Equivariant Degree Theory

De Gruyter 2003; US$ 196.00This 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 in a self-contained... more...

#### Rigid Cohomology

Cambridge University Press 2007; US$ 110.00The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments. more...

#### Algebraic Cobordism

Springer 2007; US$ 99.00Following Quillen's approach to complex cobordism, this book introduces the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. It also contains some examples of computations and applications. more...

#### Suites de Sturm, indice de Maslov et périodicité de Bott (Progress in Mathematics) (French Edition)

Springer 2008; US$ 69.95La 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 un... more...

#### Braid Groups

Springer 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...

#### The Mathematical Theory of Knots and Braids

Elsevier Science 2000; US$ 240.00This 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...

#### Statistical Models of Shape

Springer 2008; US$ 149.00Deformable shape models have wide application in computer vision and biomedical image analysis. This book addresses a key issue in shape modelling: establishment of a meaningful correspondence between a set of shapes. Correspondence has traditionally been established by manual annotation of the data, however this is a time-consuming and error-prone... more...

#### Algebraic Models in Geometry

Oxford University Press, UK 2008; US$ 55.00A 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. - ;Rational homotopy is a very powerful tool for differential topology and... more...

#### From Quantum Cohomology to Integrable Systems

Oxford University Press, UK 2008; US$ 94.99This 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. - ;Quantum cohomology... more...