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Algebraic topology

Most popular at the top

  • Algebraic Models in Geometryby Yves Félix; John Oprea; Daniel Tanré

    Oxford University Press, UK 2008; US$ 55.00

    A 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 Systemsby Martin A. Guest

    Oxford University Press, UK 2008; US$ 94.99

    This 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 Shapeby Rhodri Davies; Carole Twining; Chris Taylor

    Springer 2008; US$ 149.00

    Deformable 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 Invariantby Victor P. Snaith

    Springer 2009; US$ 129.00

    Describes 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 Topologyby Nils Andreas Baas; Eric M. Friedlander; Bjorn Jahren; Paul Arne Ostvaer

    Springer 2009; US$ 189.00

    Covers 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 Sheavesby Daniel Huybrechts; Manfred Lehn

    Cambridge University Press 2010; US$ 60.00

    This highly regarded book is back in print and now updated to reflect recent advances in the field. more...

  • Higher Structures in Geometry and Physicsby Alberto S. Cattaneo; Ping Xu; Anthony Giaquinto

    Springer 2010; US$ 179.00

    This 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*-Algebrasby Paul Arne Ostvaer

    Springer 2010; US$ 59.95

    Homotopy 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 Knotsby Markus Banagl; Denis Vogel

    Springer 2010; US$ 179.00

    The 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...

  • Graph Coloring Problemsby Tommy R. Jensen; Bjarne Toft

    Wiley 2011; US$ 177.00

    Contains a wealth of information previously scattered in research journals, conference proceedings and technical reports. Identifies more than 200 unsolved problems. Every problem is stated in a self-contained, extremely accessible format, followed by comments on its history, related results and literature. The book will stimulate research and help... more...