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Item Details
| Title:
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DIFFERENTIAL TOPOLOGY OF COMPLEX SURFACES
ELLIPTIC SURFACES WITH PG=1 - SMOOTH CLASSIFICATION |
| By: |
John W. Morgan, Kieran G. O'Grady, M. Niss |
| Format: |
Paperback |
| List price:
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£40.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540566740 |
| ISBN 13: |
9783540566748 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
30 August, 1993 |
| Edition: |
1993 ed. |
| Series: |
Lecture Notes in Mathematics v. 1545 |
| Pages: |
224 |
| Description: |
This monograph explores the smooth classification of a certain class of algebraic surface, namely regular elliptic surfaces of geometric genus one. The authors provide a complete classification of these surfaces up to diffeomorphism. |
| Synopsis: |
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. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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