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Homology theory

  • Algebraic Cobordismby Marc Levine; Fabien Morel

    Springer Berlin Heidelberg 2007; US$ 99.00

    Following Quillen's approach to complex cobordism, the authors introduce the notion of oriented cohomology theory on the category of smooth varieties over a fixed field. They prove the existence of a universal such theory (in characteristic 0) called Algebraic Cobordism. Surprisingly, this theory satisfies the analogues of Quillen's theorems: the cobordism... more...

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

    Cambridge University Press 2002; US$ 95.00 US$ 77.90

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

  • Algebraic Topologyby Nils Baas; Eric Friedlander; Björn Jahren; Paul Arne Østvær

    Springer Berlin Heidelberg 2009; US$ 189.00

    The 2007 Abel Symposium brought together mathematicians whose research has led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology and mathematical physics. This book offers the highlights of that symposium. more...

  • Bulk and Boundary Invariants for Complex Topological Insulatorsby Emil Prodan; Hermann Schulz-Baldes

    Springer International Publishing 2016; US$ 89.99

    This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on... more...

  • Categories for the Working Mathematicianby Saunders Mac Lane

    Springer New York 2013; US$ 74.95

    Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the... more...

  • Central Simple Algebras and Galois Cohomologyby Philippe Gille; Tamás Szamuely

    Cambridge University Press 2006; US$ 88.00 US$ 72.16

    The first modern, comprehensive introduction to central simple algebras for graduate students and researchers. more...

  • Cohomology of Finite Groupsby Alejandro Adem; R. James Milgram

    Springer Berlin Heidelberg 2013; US$ 129.00

    Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo­ logical algebra and algebraic K-theory. It arose primarily in the 1920's... more...

  • Elliptic Cohomologyby Charles B. Thomas

    Springer US 2006; US$ 199.00

    Elliptic cohomology is an extremely beautiful theory with both geometric and arithmetic aspects. The former is explained by the fact that the theory is a quotient of oriented cobordism localised away from 2, the latter by the fact that the coefficients coincide with a ring of modular forms. The aim of the book is to construct this cohomology theory,... more...

  • Etale Cohomology Theoryby Lei Fu

    World Scientific Publishing Company 2011; US$ 130.00

    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...

  • From Quantum Cohomology to Integrable Systemsby Martin A. Guest

    OUP Oxford 2008; US$ 97.99 US$ 84.27

    This text focuses on the extraordinary success of quantum cohomology and its connections with many existing areas of traditional mathematics and new areas such as mirror symmetry. Aimed at graduate students in mathematics as well as theoretical physicists, the text assumes basic familiarity with differential equations and cohomology. more...