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Algebraic topology

Most popular at the top

  • Geometry of Principal Sheavesby Efstathios Vassiliou

    Springer Netherlands 2006; US$ 139.00

    The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth... more...

  • String Topology and Cyclic Homologyby Ralph L. Cohen; Kathryn Hess; Alexander A. Voronov

    Springer 2006; US$ 39.95

    Deals with string topology, Hochschild and cyclic homology. This book consists of an exposition of various approaches to string topology and the Chas-Sullivan loop product. It also gives a construction of an algebraic model for computing topological cyclic homology. It is suitable for both graduate students and established researchers. more...

  • Handbook of Algebraic Topologyby I.M. James

    Elsevier Science 1995; US$ 315.00

    Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys... more...

  • Intelligence Of Low Dimensional Topology 2006by J Scott Carter; Seiichi Kamada; Louis H Kauffman

    World Scientific Publishing Company 2007; US$ 292.00

    This 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...

  • Knotsby Gerhard Burde; Heiner Zieschang

    De Gruyter 2002; US$ 168.00

    This book is an introduction to classical knot theory. Topics covered include: different constructions of knots, knot diagrams, knot groups, fibred knots, characterisation of torus knots, prime decomposition of knots, cyclic coverings and Alexander polynomials and modules together with the free differential calculus, braids, branched... more...

  • Equivariant Degree Theoryby Jorge Ize; Alfonso Vignoli

    De Gruyter 2003; US$ 196.00

    This book presents a new degree theory for maps which commute with a group of symmetries. This degree is no longer a single integer but an element of the group of equivariant homotopy classes of maps between two spheres and depends on the orbit types of the spaces. The authors develop completely the theory and applications of this degree... more...

  • The Heart of Cohomologyby Goro Kato

    Springer Netherlands 2006; US$ 135.00

    If you have not heard about cohomology, this book may be suited for you. Fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, derived functors, spectral sequences, derived categories are explained in elementary fashion. Applications to sheaf cohomology are given. Also cohomological aspects of D-modules... more...

  • Rigid Cohomologyby Bernard Le Stum

    Cambridge University Press 2007; US$ 116.00

    The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments. more...

  • Basic Bundle Theory and K-cohomology Invariantsby Dale Husemoller; M. Joachim; Branislav Jurco; Martin Schottenloher

    Springer 2007; US$ 99.00

    Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One... more...

  • Suites de Sturm, indice de Maslov et périodicité de Bottby Jean Barge; Jean Lannes

    Birkhäuser Basel 2008; US$ 69.95

    La 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... more...