株式会社極東書店トップ > 商品一覧 > Gauge Theory and the Topology of Four-Manifolds.
商品詳細
Gauge Theory and the Topology of Four-Manifolds.
・ISBN 978-1-4704-7972-5 paper US$ 125.00
¥29,287.- (税込) ※(※)価格はご注文時の参考価格となります。
納品価格につきましては書籍の入荷時点で確定となります。
版元の原価改定、外国為替の変動等により異なる場合がございますので、予めご了承下さい。
お気に入り
★★★
| 著者・編者 | Friedman, Robert / Morgan, John W. (eds.), |
|---|---|
| シリーズ | IAS/Park City Mathematics Series |
| 出版社 | (American Mathematical Society, US) |
| 出版年月 | 1998 |
| ページ数 | 221 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-19954> |
解説
The lectures in this volume provide a perspective on how 4-manifold theory was studied before the discovery of modern-day Seiberg-Witten theory. One reason the progress using the Seiberg-Witten invariants was so spectacular was that those studying $SU(2)$-gauge theory had more than ten years' experience with the subject. The tools had been honed, the correct questions formulated, and the basic strategies well understood. The knowledge immediately bore fruit in the technically simpler environment of the Seiberg-Witten theory. Gauge theory long predates Donaldson's applications of the subject to 4-manifold topology, where the central concern was the geometry of the moduli space. One reason for the interest in this study is the connection between the gauge theory moduli spaces of a Kahler manifold and the algebro-geometric moduli space of stable holomorphic bundles over the manifold. The extra geometric richness of the $SU(2)$-moduli spaces may one day be important for purposes beyond the algebraic invariants that have been studied to date. It is for this reason that the results presented in this volume will be essential.