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The Local Structure of Algebraic K-Theory
Springer 2012; US$ 99.99Algebraic 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 Theory
World Scientific Publishing Company 2011; US$ 199.00Etale 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 Moduli Spaces of Sheaves
Cambridge University Press 2010; US$ 42.00This highly regarded book is finally back in print and now updated to reflect recent advances in the field. more...
Suites de Sturm, indice de Maslov et périodicité de Bott (Progress in Mathematics) (French Edition)
Springer 2008; US$ 89.95La 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...
From Quantum Cohomology to Integrable Systems
Oxford University Press, UK 2008; US$ 94.99This 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...
Rigid Cohomology
Cambridge University Press 2007; US$ 103.00The first book to give a complete treatment of rigid cohomology, from the basics to the very latest developments. more...
The Heart of Cohomology
Springer 2006; US$ 109.99Explains 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-Theory
CRC Press 2006; US$ 99.95Focusing on computations in representation theoretic setting, this book begins with a treatment of classical algebraic K-theory and then explores more advanced topics of higher algebraic K-theory. It also discusses Mackey functions and equivariant K-theory, integrating Lueck's equivaraint algebraic K-theory with Quillen algebraic theory. more...
Central Simple Algebras and Galois Cohomology
Cambridge University Press 2006; US$ 95.00The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields. Assuming only a solid background in algebra, it reaches such advanced results as the Merkurjev-Suslin theorem. The book is a graduate textbook and a reference for researchers working in algebra, algebraic geometry or K-theory. more...
Geometry of Principal Sheaves
Springer 2006; US$ 99.99The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth... more...
