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#### Intelligence Of Low Dimensional Topology 2006

World Scientific Publishing Company 2007; US$ 292.00This volume gathers the contributions from the international conference "Intelligence of Low Dimensional Topology 2006," which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest... more...

#### The Heart of Cohomology

Springer 2006; US$ 135.00Explains fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, drived functors, spectral sequences, derived categories. This work gives applications to sheaf cohomology. It also provides cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family. 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...

#### 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...

#### 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...

#### 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...