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Algebraic topology

Most popular at the top

  • Functorial Knot Theoryby David N. Yetter

    World Scientific Publishing Company 2001; US$ 142.00

    Almost since the advent of skein-theoretic invariants of knots and links (the Jones, HOMFLY, and Kauffman polynomials), the important role of categories of tangles in the connection between low-dimensional topology and quantum-group theory has been recognized. The rich categorical structures naturally arising from the considerations of cobordisms have... more...

  • Energy of Knots and Conformal Geometryby Jun O'Hara

    World Scientific Publishing Company 2003; US$ 135.00

    Energy of knots is a theory that was introduced to create a “canonical configuration” of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a “canonical configuration” of a knot in each knot type. It also considers... more...

  • Knotsby Gerhard Burde; Heiner Zieschang

    De Gruyter 2002; US$ 147.00

    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 coverings and... more...

  • Handbook of Knot Theoryby William Menasco; Morwen Thistlethwaite

    Elsevier Science 2005; US$ 185.00

    This book is a survey of current topics in the mathematical theory of knots. For a mathematician, a knot is a closed loop in 3-dimensional space: imagine knotting an extension cord and then closing it up by inserting its plug into its outlet. Knot theory is of central importance in pure and applied mathematics, as it stands at a crossroads of topology,... more...

  • Lectures on Homotopy Theoryby R.A. Piccinini

    Elsevier Science 1992; US$ 72.95

    The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the n th homotopy group of the sphere S n , for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of S n are... 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...

  • An Algebraic Introduction to K-Theoryby Bruce A. Magurn

    Cambridge University Press 2002; US$ 95.00

    An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra. more...

  • Homotopy Theory: Proceedings of the Durham Symposium 1985by E. Rees; J. D. S. Jones

    Cambridge University Press 1987; US$ 40.00

    This 1987 volume presents a collection of papers given at the 1985 Durham Symposium on homotopy theory. more...

  • Advances in Homotopy Theoryby S. Salamon; B. Steer; W. Sutherland

    Cambridge University Press 1989; US$ 52.00

    This volume records the lectures given at a conference to celebrate Professor Ioan James' 60th birthday. more...

  • Stable Modules and the D(2)-Problemby F. E. A. Johnson

    Cambridge University Press 2003; US$ 84.00

    This 2003 book deals with two fundamental problems in low-dimensional topology with an eye on wider context. more...