Differential Topology of Complex Surfaces : Elliptic Surfaces with pg = 1: Smooth Classification PDF
by John W. Morgan, Kieran G. O'Grady
Part of the Lecture Notes in Mathematics series
Description
This book is about the smooth classification of a certainclass of algebraicsurfaces, namely regular ellipticsurfaces of geometric genus one, i.e. elliptic surfaces withb1 = 0 and b2+ = 3. The authors give a completeclassification of these surfaces up to diffeomorphism. Theyachieve this result by partially computing one of Donalson'spolynomial invariants.
The computation is carried out usingtechniques from algebraic geometry.
In these computationsboth thebasic facts about the Donaldson invariants and therelationship of the moduli space of ASD connections with themoduli space of stable bundles are assumed known.
Somefamiliarity with the basic facts of the theory of moduliofsheaves and bundles on a surface is also assumed.
This workgives a good and fairly comprehensive indication of how themethods of algebraic geometry can be used to computeDonaldson invariants.
Information
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Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:15/11/2006
- Category:
- ISBN:9783540476283
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:15/11/2006
- Category:
- ISBN:9783540476283
