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

CRC Press 2016; US$ 132.95Representation 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...

#### Bulk and Boundary Invariants for Complex Topological Insulators

Springer International Publishing 2016; US$ 71.66This 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...

#### Iwasawa Theory 2012

Springer Berlin Heidelberg 2014; US$ 119.45This 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 Localization Problem in Index Theory of Elliptic Operators

Springer Basel 2013; US$ 63.30The book deals with the localization approach to the index problem for elliptic operators. It covers both the general localization principle and its applications to specific problems, existing and new. more...

#### Hypoelliptic Laplacian and Bott–Chern Cohomology

Springer International Publishing 2013; US$ 89.58This 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...

#### Categories for the Working Mathematician

Springer New York 2013; US$ 60.10Categories 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...

#### Cohomology of Finite Groups

Springer Berlin Heidelberg 2013; US$ 101.53Some 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...

#### Sheaves in Geometry and Logic

Springer New York 2012; US$ 71.91We dedicate this book to the memory of J. Frank Adams. His clear insights have inspired many mathematicians, including both of us. In January 1989, when the first draft of our book had been completed, we heard the sad news of his untimely death. This has cast a shadow on our subsequent work. Our views of topos theory, as presented here, have been shaped... more...

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

Springer London 2012; US$ 101.53This 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...

#### Metric and Differential Geometry

Springer Basel 2012; US$ 103.92Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index... more...