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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Differential Topology of Complex Surfaces: Elliptic Surfaces with Pg = 1: Smooth Classification

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

Morgan, John W.
O'Grady, Kieran G.
Niss, M.

Paperback

Series: Lecture Notes in Mathematics, Book 1545

General MathematicsGeometry

ISBN10: 3540566740
ISBN13: 9783540566748
Publisher: Springer
Published: Aug 30 1993
Pages: 224
Weight: 0.75
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
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.

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