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#### Algebraic Cobordism

Springer Berlin Heidelberg 2007; US$ 99.00Following 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-Theory

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

#### Algebraic Topology

Springer Berlin Heidelberg 2009; US$ 189.00The 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...

#### Central Simple Algebras and Galois Cohomology

Cambridge University Press 2006; US$ 88.00The first modern, comprehensive introduction to central simple algebras for graduate students and researchers. more...

#### Elliptic Cohomology

Springer 1999; US$ 135.00The aim of this work is to construct a cohomology theory, and evaluate it on classifying spaces BG of finite groups G. This class of spaces is important, since (using ideas borrowed from `Monstrous Moonshine') it is possible to give a bundle-theoretic definition of EU-(BG). more...

#### Etale Cohomology Theory

World Scientific Publishing Company 2011; US$ 211.00Etale 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...

#### 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...

#### General Cohomology Theory and K-Theory

Cambridge University Press 1971; US$ 44.00These notes constitute a faithful record of a short course of lectures given in São Paulo, Brazil, in the summer of 1968. more...

#### The Geometry of Moduli Spaces of Sheaves

Cambridge University Press 2010; US$ 60.00This highly regarded book is back in print and now updated to reflect recent advances in the field. more...

#### Geometry of Principal Sheaves

Springer Netherlands 2006; US$ 139.00The 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...