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Algebraic topology

Most popular at the top

  • 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...

  • 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...

  • INTRODUCTORY LECTURES ON KNOT THEORYby Louis H. Kauffman; Sofia Lambropoulou; Slavik Jablan

    World Scientific Publishing Company 2011; US$ 217.00

    This volume consists primarily of survey papers that evolved from the lectures given in the school portion of the meeting and selected papers from the conference. Knot theory is a very special topological subject: the classification of embeddings of a circle or collection of circles into three-dimensional space. This is a classical topological problem... more...

  • AN EXCURSION IN DIAGRAMMATIC ALGEBRAby J. Scott Carter

    World Scientific Publishing Company 2011; US$ 151.00

    The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between diagrams represent algebraic relations. The reader... more...

  • Discontinuous Groups of Isometries in the Hyperbolic Planeby Jakob Nielsen; Werner Fenchel; Asmus L. Schmidt

    De Gruyter 2002; US$ 182.00

    Fuchsian groups play a central role in various important fields of mathematics. The current book is based on what became known as the famous Fenchel-Nielsen manuscript. Jakob Nielsen (1890-1959) started this project well before World War II, Werner Fenchel (1905-1988) joined later and overtook the much of the preparation of the manuscript. Professor... more...

  • Homotopy of Extremal Problemsby Sergey K. Korovin; Nikolai A. Bobylev; Stanislav V. Emelyanov; Alexander V. Bulatov

    De Gruyter 2007; US$ 238.00

    This monograph provides a thorough treatment of parameter-dependent extremal problems with local minimum values that remain unchanged under changes of the parameter. The authors consider the theory as well the practical treatment of those problems, both in finite-dimensional as well as in infinite-dimensional spaces. Various applications are considered,... more...