Differential Topology of Complex Surfaces : Elliptic Surfaces with pg = 1

Smooth Classification

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Last edited by MARC Bot
September 30, 2024 | History

Differential Topology of Complex Surfaces : Elliptic Surfaces with pg = 1

Smooth Classification

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.

Publish Date
Pages
224

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Edition Availability
Cover of: Differential Topology of Complex Surfaces : Elliptic Surfaces with Pg = 1
Differential Topology of Complex Surfaces : Elliptic Surfaces with Pg = 1: Smooth Classification
2006, Springer London, Limited
in English
Cover of: Differential Topology of Complex Surfaces : Elliptic Surfaces with pg = 1
Differential Topology of Complex Surfaces : Elliptic Surfaces with pg = 1: Smooth Classification
Oct 08, 1993, Springer, Brand: Springer
paperback

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Book Details


Edition Notes

Source title: Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification (Lecture Notes in Mathematics)

Classifications

Library of Congress
QA613-613.8, QA613.6-613.66

The Physical Object

Format
paperback
Number of pages
224

ID Numbers

Open Library
OL28750375M
ISBN 10
3540566740
ISBN 13
9783540566748

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Download catalog record: RDF / JSON / OPDS | Wikipedia citation
September 30, 2024 Edited by MARC Bot import existing book
February 25, 2022 Edited by ImportBot import existing book
August 15, 2020 Created by ImportBot Imported from amazon.com record