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Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification (Lecture Notes in Mathematics, 1545) by John W. Morgan, Kieran G. O'Grady, M. Niss, Morgan, John W., O'Grady, Kieran G., John W Morgan, Kieran G O'Grady is a nonfiction available to read on EtoBox.
What is Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification (Lecture Notes in Mathematics, 1545) about?
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 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 partia
Who reads Differential Topology of Complex Surfaces: Elliptic Surfaces with pg = 1: Smooth Classification (Lecture Notes in Mathematics, 1545)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- John W. Morgan, Kieran G. O'Grady, M. Niss, Morgan, John W., O'Grady, Kieran G., John W Morgan, Kieran G O'Grady
- Publisher
- Springer Spektrum. in Springer-Verlag GmbH
- Published
- 1993
- Language
- EN
- ISBN
- 9783540568148
- Category
- nonfiction
- Subjects
- Mathematics, Geometry And Topology, Stem
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