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Homology theory

  • Suites de Sturm, indice de Maslov et périodicité de Bott (Progress in Mathematics) (French Edition)by Jean Barge; Jean Lannes

    Springer 2008; US$ 69.95

    La théorie classique des suites de Sturm fournit un algorithme pour déterminer le nombre de racines d?un polynôme à coefficients réels contenues dans un intervalle donné. L?objet principal de ce mémoire est de montrer qu?une généralisation adéquate de la théorie des suites de Sturm fournit entre autres choses: une notion d?indice de Maslov pour un... 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...

  • 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...

  • Iwasawa Theory 2012by Thanasis Bouganis; Otmar Venjakob

    Springer Berlin Heidelberg 2014; US$ 169.00

    This is the fifth conference in a bi-annual series, following conferences in Besancon, Limoges, Irsee and Toronto. The meeting aims to bring together different strands of research in and closely related to the area of Iwasawa theory. During the week before the conference in a kind of summer school a series of preparatory lectures for young mathematicians... more...

  • The Local Structure of Algebraic K-Theoryby Bjørn Ian Dundas; Thomas G. Goodwillie; Randy McCarthy

    Springer 2012; US$ 129.00

    Algebraic K-theory encodes important invariants for several mathematical disciplines, spanning from geometric topology and functional analysis to number theory and algebraic geometry. As is commonly encountered, this powerful mathematical object is very hard to calculate. Apart from Quillen's calculations of finite fields and Suslin's calculation... 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...

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

    Cambridge University Press 2006; US$ 88.00

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

  • From Quantum Cohomology to Integrable Systemsby Martin A. Guest

    Oxford University Press, UK 2008; US$ 94.99

    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. - ;Quantum cohomology... more...

  • General Cohomology Theory and K-Theoryby P. J. Hilton

    Cambridge University Press 1971; US$ 44.00

    These notes constitute a faithful record of a short course of lectures given in São Paulo, Brazil, in the summer of 1968. more...