Differential Topology of Complex Surfaces: Elliptic Surfaces with Pg = 1: Smooth Classification

Front Cover
Springer, Aug 30, 1993 - Mathematics - 224 pages
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.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Certain moduli spaces for bundles on elliptic surfaces with P 1 57
1
2
13
Identification of 83rS H with 73S
33
Copyright

6 other sections not shown

Other editions - View all

Common terms and phrases

Bibliographic information