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Differential topology of complex surfaces : elliptic surfaces with pg̳=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 b...

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Bibliographic Details
Main Author: Morgan, John, 1946 March 21-
Corporate Author: SpringerLink (Online service)
Other Authors: O'Grady, Kieran G., 1958-, Niss, Millie, 1973-2009
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1993]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1545.
Subjects:
Elliptic surfaces.
Differential topology.
Surfaces elliptiques.
Topologie différentielle.
Algebraïsche meetkunde.
Differentiaalmeetkunde.
Differentialtopologie.
Elliptische Fläche.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:Electronic resource.
Physical Description:1 online resource (224 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages [219]-221) and index.
ISBN:9783540476283 (electronic bk.)
3540476288 (electronic bk.)
ISSN:0075-8434 ;