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Algebraic topology

Most popular at the top

  • Physical And Numerical Models In Knot Theoryby Jorge A Calvo; Kenneth C Millett; Eric J Rawdon

    World Scientific Publishing Company 2005; US$ 300.00

    The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made... more...

  • Geometry of Principal Sheavesby Efstathios Vassiliou

    Springer 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...

  • 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...

  • 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...

  • Algebraic Cobordismby Marc Levine; Fabien Morel

    Springer 2007; US$ 99.00

    Following Quillen's approach to complex cobordism, this book introduces the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. It also contains some examples of computations and applications. 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...

  • The Heart of Cohomologyby Goro Kato

    Springer Netherlands 2006; US$ 135.00

    Informal and conversational Detailed Elemental and elementary Kind explanation 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...

  • 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...