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#### 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

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...

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

Springer 2009; US$ 129.00Describes important techniques of stable homotopy theory, applying them to the long-standing problem of the existence of framed manifolds with odd Arf-Kervaire invariant. This work opens with an account of the necessary algebraic topology background. more...

#### Shape and Shape Theory

Wiley 2009; US$ 292.00"This is a fascinating book mixing geometry, topology and probability theory..." ( London Mathematical Society Bulletin , Vol 32, 2000) "The potential value that his volume should have to researchers in many areas for years to come." ( Short Book Reviews , August 2000) "I would like to conclude this review by strongly recommending that geodists... more...

#### Algebraic Topology

Springer 2009; US$ 189.00Covers the 2007 Abel Symposium that took place at the University of Oslo in August 2007. This book presents various perspectives and constructions that have enabled broadening of vistas, a synergy between once-differentiated subjects, and solutions to mathematical problems. more...

#### The Geometry of Moduli Spaces of Sheaves

Cambridge University Press 2010; US$ 60.00This highly regarded book is back in print and now updated to reflect recent advances in the field. more...

#### A History of Algebraic and Differential Topology, 1900 - 1960

Springer 2009; US$ 89.99Since the early part of the 20th century, topology has gradually spread to many other branches of mathematics, and this book demonstrates how the subject continues to play a central role in the field. Written by a world-renowned mathematician, this classic text traces the history of algebraic topology beginning with its creation in the early 1900s... more...

#### The Mathematics of Knots

Springer 2010; US$ 179.00The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and... more...