The Asymptotic Geometry of $\mathrm {G}_2$-Monopoles (Memoirs of the American Mathematical Society)

Fadel, Daniel/ Nagy, Akos/ Oliveira, Goncalo

American Mathematical Society（2025/03発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 91 p.
• 言語 ENG
• 商品コード 9781470471262

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed. 

Contents

Chapters
1. Introduction
2. Preliminaries
3. Consequences of Moser iteration and $\varepsilon $-regularity
4. Finite mass from finite intermediate energy
5. Bochner-Weitzenbock formulas along the end
6. Refined asymptotics in the AC case
7. Boundary data
8. Bogomolny trick for the intermediate energy
9. Decay of linearized solutions
10. Weighted split Sobolev spaces: Fredholm operators
11. Weighted split Sobolev spaces: Sobolev Embeddings and Multiplication Maps
12. Moduli theory