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Titlebook: Differential Topology of Complex Surfaces; Elliptic Surfaces wi John W. Morgan,Kieran G. O’Grady Book 1993 Springer-Verlag Berlin Heidelber

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书目名称Differential Topology of Complex Surfaces
副标题Elliptic Surfaces wi
编辑John W. Morgan,Kieran G. O’Grady
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Differential Topology of Complex Surfaces; Elliptic Surfaces wi John W. Morgan,Kieran G. O’Grady Book 1993 Springer-Verlag Berlin Heidelber
描述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 ofDonalson‘spolynomial invariants. The computation is carried outusingtechniques from algebraic geometry. In these computationsboth thebasic facts about the Donaldson invariants and therelationship of themoduli 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 agood and fairly comprehensive indication of how themethods of algebraicgeometry can be used to computeDonaldson invariants.
出版日期Book 1993
关键词Blowing up; diffeomorphism; differential topology; elliptic surfaces; four-manifolfds; moduli space
版次1
doihttps://doi.org/10.1007/BFb0086765
isbn_softcover978-3-540-56674-8
isbn_ebook978-3-540-47628-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1993
The information of publication is updating

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Differential Topology of Complex Surfaces978-3-540-47628-3Series ISSN 0075-8434 Series E-ISSN 1617-9692
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Book 1993ptic surfaces withb1 = 0 and b2+ = 3. The authors give a completeclassification of these surfaces up to diffeomorphism. Theyachieve this result by partially computing one ofDonalson‘spolynomial invariants. The computation is carried outusingtechniques from algebraic geometry. In these computationsbo
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