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#### Suites de Sturm, indice de Maslov et périodicité de Bott

Birkhäuser Basel 2008; US$ 48.52La 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... more...

#### The Local Structure of Algebraic K-Theory

Springer London 2012; US$ 92.39This book covers the connection between algebraic K-theory and Bökstedt, Hsiang and Madsen's topological cyclic homology and proves the difference between the theories are locally constant. It contains a proof of the integral Goodwillie ICM 1990 conjecture. more...

#### An Algebraic Introduction to K-Theory

Cambridge University Press 2002; US$ 95.00An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra. more...

#### Lower K- and L-theory

Cambridge University Press 1992; US$ 46.00This is the first unified treatment in book form of the lower K-groups of Bass and the lower L-groups of the author. more...

#### An Introduction to K-Theory for C*-Algebras

Cambridge University Press 2000; US$ 46.00This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students. more...

#### The Geometry of Spherical Space Form Groups

World Scientific Publishing Company 1989; US$ 40.00 US$ 36.40In 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...

#### Cohomology of Finite Groups

Springer Berlin Heidelberg 2013; US$ 92.39Some 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...

#### Categories for the Working Mathematician

Springer New York 2013; US$ 55.31Categories 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...

#### Hypoelliptic Laplacian and Bott–Chern Cohomology

Springer International Publishing 2013; US$ 80.84This 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. more...

#### Representation Theory and Higher Algebraic K-Theory

CRC Press 2016; US$ 57.95Representation 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...