ENGLISH

Differential Topology of Complex Surfaces

By John W. Morgan , Kieran G. O'Grady , M. Niss

Book information

Publisher
Springer
Year
1993
ISBN
3540566740, 9783540566748
Language
english
Format
DJVU
Filesize
2 MB (1730346 bytes)
Series
Lecture Notes in Mathematics
Edition
1
Pages
234\234
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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.

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