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Homology theory

Most popular at the top

  • Lower K- and L-theoryby Andrew Ranicki

    Cambridge University Press 1992; US$ 42.00

    This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. more...

  • Hochschild Cohomology of Von Neumann Algebrasby Allan M. Sinclair; Roger R. Smith

    Cambridge University Press 1995; US$ 51.00

    This book gives an introduction to biotransformations, the practice of harnessing biological catalysts for the preparation of useful chemicals. more...

  • An Introduction to K-Theory for C*-Algebrasby M. RÝrdam; F. Larsen; N. Laustsen

    Cambridge University Press 2000; US$ 42.00

    This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students. more...

  • Intersection Cohomologyby Armand Borel

    Springer 2009; US$ 49.99

    This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983. This volume supplies an introduction to the piecewise linear and sheaf-theoretic versions of that theory... more...

  • Hypoelliptic Laplacian and Bott–Chern Cohomologyby Jean-Michel Bismut

    Springer 2013; US$ 109.00

    The book provides the proof of a complex geometric version of a well-known result in algebraic geometry: the theorem of Riemann-Roch-Grothendieck for proper submersions. It gives an equality of cohomology classes in Bott-Chern cohomology, which is a refinement for complex manifolds of de Rham cohomology. When the manifolds are Kähler, our main... 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...

  • The Geometry of Spherical Space Form Groupsby P.B. Gilkey

    World Scientific Publishing Company 1989; US$ 129.00

    In this volume, the geometry of spherical space form groups is studied using the eta invariant. The author reviews the analytical properties of the eta invariant of Atiyah-Patodi-Singer and describes how the eta invariant gives rise to torsion invariants in both K-theory and equivariant bordism. The eta invariant is used to compute the K-theory of... more...

  • The Heart of Cohomologyby Goro Kato

    Springer 2006; US$ 135.00

    Explains fundamental notions in cohomology for examples, functors, representable functors, Yoneda embedding, drived functors, spectral sequences, derived categories. This work gives applications to sheaf cohomology. It also provides cohomological aspects of D-modules and of the computation of zeta functions of the Weierstrass family. more...

  • Representation Theory and Higher Algebraic K-Theoryby Aderemi Kuku

    Taylor and Francis 2006; US$ 129.95

    Representation Theory and Higher Algebraic K-Theory is the first book to present higher algebraic K-theory of orders and group rings as well as characterize higher algebraic K-theory as Mackey functors that lead to equivariant higher algebraic K-theory and their relative generalizations. Thus, this book makes computations of higher K-theory of group... more...

  • Homology theoryby James W. Vick

    Elsevier Science 1973; US$ 72.95

    Homology theory more...