Differential Topology of Complex Surfaces

Author/creator Morgan, John W. Author
Other author O'Grady, Kieran G. Author
Format Electronic
Publication InfoNew York : Springer
Descriptionviii, 224 p. ill 22.000 x 014.000 cm.
Supplemental ContentFull text available from SpringerLINK Lecture Notes in Mathematics
Supplemental ContentFull text available from Springer Books
Subjects

SeriesLecture Notes in Mathematics Vol. 1545
Summary Annotation 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.
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Genre/formElectronic books.
ISBN9783540566748
ISBN3540566740 (Trade Paper) Active Record
Standard identifier# 9783540566748
Stock number00024965

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