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Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification
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Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification (Paperback)

£44.99
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Synopsis

This book is about the smooth classification of a certain

class of algebraicsurfaces, namely regular elliptic

surfaces of geometric genus one, i.e. elliptic surfaces with

b1 = 0 and b2+ = 3. The authors give a complete

classification of these surfaces up to diffeomorphism. They

achieve this result by partially computing one of Donalson's

polynomial invariants. The computation is carried out using

techniques from algebraic geometry. In these computations

both thebasic facts about the Donaldson invariants and the

relationship of the moduli space of ASD connections with the

moduli space of stable bundles are assumed known. Some

familiarity with the basic facts of the theory of moduliof

sheaves and bundles on a surface is also assumed. This work

gives a good and fairly comprehensive indication of how the

methods of algebraic geometry can be used to compute

Donaldson invariants.

Science & MathematicsMathematicsGeometryAlgebraic geometry Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Publication Date: 30/08/1993 ISBN-13: 9783540566748  Details: Type: Paperback Format: Books
Availability: Printed to order. Despatched in 2-3 weeks.  

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