Gauge theory and the topology of four-manifolds /
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| Imprint: | Providence, R.I. : American Mathematical Society, c1998. |
|---|---|
| Description: | x, 221 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | IAS/Park City mathematics series, 1079-5634 ; v. 4 |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/2949517 |
Table of Contents:
- Geometric invariant theory and the moduli of bundles: Geometric invariant theory
- The numerical criterion
- The moduli of stable bundles
- References
- Anti-self-dual connections and stable vector bundles: Hermitian bundles, Hermitian connections and their curvatures
- Hermitian-Einstein connections and stable vector bundles
- The existence of Hermitian-Einstein metrics
- References
- An Introduction to gauge theory: The context of Gauge theory
- Principal bundles and connections
- Curvature and characteristic classes
- The space of connections
- The ASD equations and the moduli space
- Compactness and gluing theorems
- The Donaldson polynomial invariants
- The connected sum theorem
- References
- Computing Donaldson invariants: Overview
- -2 spheres and the blowup formula
- Simple-type criteria and elliptic surfaces
- Elementary rational blowdowns
- Taut configurations and Horikowa surfaces
- References
- Donaldson-Floer theory: Introduction
- Quantization
- Simplicial decomposition of $\Cal{{M}}^0_X$
- Half-infinite dimensional spaces
- References
