3 options
Differential Topology of Complex Surfaces : Elliptic Surfaces with p g =1: Smooth Classification / by John W. Morgan, Kieran G. O'Grady.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2382 2385,2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Morgan, John, 1946 March 21- author.
- O'Grady, Kieran G., 1958- author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1545.
- Lecture Notes in Mathematics, 0075-8434 ; 1545
- Language:
- English
- Subjects (All):
- Cell aggregation--Mathematics.
- Geometry, Algebraic.
- Global differential geometry.
- Cell aggregation.
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Algebraic Geometry.
- Differential Geometry.
- Local Subjects:
- Manifolds and Cell Complexes (incl. Diff.Topology).
- Algebraic Geometry.
- Differential Geometry.
- Physical Description:
- 1 online resource (VII, 224 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1993.
- System Details:
- text file PDF
- Summary:
- This book is about the smooth classification of a certain class of algebraicsurfaces, namely regular elliptic surfaces of geometric genus one, id est 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.
- Contents:
- Unstable polynomials of algebraic surfaces
- Identification of ?3,r (S, H) with ?3(S)
- Certain moduli spaces for bundles on elliptic surfaces with p g = 1
- Representatives for classes in the image of the ?-map
- The blow-up formula
- The proof of Theorem 1.1.1.
- Other Format:
- Printed edition:
- ISBN:
- 9783540476283
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.