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#### 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...

#### 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...

#### 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...

#### Higher Structures in Geometry and Physics

Springer 2010; US$ 179.00This book is centered around higher algebraic structures stemming from the work of Murray Gerstenhaber and Jim Stasheff that are now ubiquitous in various areas of mathematics-- such as algebra, algebraic topology, differential geometry, algebraic geometry, mathematical physics-- and in theoretical physics such as quantum field theory and string theory.... more...

#### Homotopy Theory of C*-Algebras

Springer 2010; US$ 59.95Homotopy theory and C* algebras are central topics in contemporary mathematics. This book introduces a modern homotopy theory for C*-algebras. One basic idea of the setup is to merge C*-algebras and spaces studied in algebraic topology into one category comprising C*-spaces. These objects are suitable fodder for standard homotopy theoretic moves, leading... 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...

#### Etale Cohomology Theory

World Scientific Publishing Company 2011; US$ 211.00Etale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1/2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology. The prerequisites... more...

#### INTRODUCTORY LECTURES ON KNOT THEORY

World Scientific Publishing Company 2011; US$ 217.00This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimensional space. This is a classical topological problem... more...