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9781470471262 Academic Inspection Copy

The Asymptotic Geometry of $\mathrm {G}_2$-Monopoles

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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.
Daniel Fadel, Universidade Federal do Rio de Janeiro, Brasil. Akos Nagy, University of California, Santa Barbara, CA. Goncalo Oliveira, Instituto Superior Tecnico, Lisboa, Portugal, and Institute of Science and Technology Austria, Klosterneuberg, Austria.
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
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