$The Asymptotic Geometry of $\mathrm {G}_2$-Monopoles by Daniel Fadel at Abbey's Bookshop,$

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

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Daniel Fadel Akos Nagy

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

Daniel Fadel, Akos Nagy, Goncalo Oliveira

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English

American Mathematical Society
31 March 2025

Geometry; Topology; Mathematical physics

Series: Memoirs of the American Mathematical Society

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.

By: Daniel Fadel, Akos Nagy, Goncalo Oliveira
Imprint: American Mathematical Society
Country of Publication: United States
Volume: Vol: 303 No: 1521
Dimensions: Height: 254mm, Width: 178mm,
ISBN: 9781470471262
ISBN 10: 1470471264
Series: Memoirs of the American Mathematical Society
Pages: 91
Publication Date: 31 March 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

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.