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Algebraic topology

Most popular at the top

  • 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...

  • Shape and Shape Theoryby D. G. Kendall; D. Barden; T. K. Carne; H. Le

    Wiley 2009; US$ 283.00

    Shape and Shape Theory D. G. Kendall Churchill College, University of Cambridge, UK D. Barden Girton College, University of Cambridge, UK T. K. Carne King's College, University of Cambridge, UK H. Le University of Nottingham, UK The statistical theory of shape is a relatively new topic and is generating a great deal of interest and comment by statisticians,... 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$ 45.00

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

  • A History of Algebraic and Differential Topology, 1900 - 1960by Jean Dieudonne

    Springer 2009; US$ 89.99

    Since 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 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...

  • 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...

  • 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...

  • 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...

  • Etale Cohomology Theoryby Lei Fu

    World Scientific Publishing Company 2011; US$ 211.00

    Etale 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...