Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification (Lecture Notes in Mathematics) - Couverture souple

Morgan, John W.

 
9783540566748: Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification (Lecture Notes in Mathematics)
Couverture souple
ISBN 10 : 3540566740 ISBN 13 : 9783540566748
Editeur : Springer, 1993

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
1993
Langue
anglais
ISBN 10 
3540566740
ISBN 13 
9783540566748
Reliure
Broché
Nombre de pages
236
Coordonnées du fabricant
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Poststr. 9
Darmstadt
64293
Allemagne

Autres éditions populaires du même titre

9780387566740: Differential Topology of Complex Surfaces: Elliptic Surfaces With Pg=1: Smooth Classification

Edition présentée

ISBN 10 :  0387566740 ISBN 13 :  9780387566740
Couverture souple