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#### Algebraic Cobordism

Springer Berlin Heidelberg 2007; US$ 84.23Following 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...

#### Basic Bundle Theory and K-Cohomology Invariants

Springer Berlin Heidelberg 2007; US$ 78.61Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory with the aim to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. ... more...

#### Helices and Vector Bundles

Cambridge University Press 1990; US$ 56.00 US$ 45.92This volume is devoted to the use of helices as a method for studying exceptional vector bundles, an important and natural concept in algebraic geometry. The work arises out of a series of seminars organised in Moscow by A. N. Rudakov. The first article sets up the general machinery, and later ones explore its use in various contexts. As to be expected,... more...

#### Vector Bundles in Algebraic Geometry

Cambridge University Press 1995; US$ 84.00 US$ 68.88This book is a collection of survey articles by the main speakers at the 1993 Durham symposium on vector bundles in algebraic geometry. more...

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