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 |  |
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 |
doi | https://doi.org/10.1007/BFb0086765 |
isbn_softcover | 978-3-540-56674-8 |
isbn_ebook | 978-3-540-47628-3Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1993 |