Differential Topology of Complex Surfaces: Elliptic Surfaces with Pg = 1: Smooth Classification
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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.
Format:Paperback
Language:English
ISBN:3540566740
ISBN13:9783540566748
Release Date:August 1993
Publisher:Springer
Length:224 Pages
Weight:0.75 lbs.
Dimensions:0.5" x 6.1" x 9.2"
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