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Partial compactification of monopoles and metric asymptotics / Chris Kottke, Michael Singer.
Math/Physics/Astronomy Library QA3 .A57 no.1383
Available
- Format:
- Book
- Author/Creator:
- Kottke, Chris, author.
- Singer, Michael F., 1950- author.
- Series:
- Memoirs of the American Mathematical Society ; no. 1383.
- Memoirs of the American Mathematical Society, 0065-9266 ; number 1383
- Language:
- English
- Subjects (All):
- Vector bundles.
- Global differential geometry.
- Global analysis (Mathematics).
- Quantum field theory.
- Mathematics.
- Physical Description:
- vii, 110 pages : illustrations ; 26 cm.
- Place of Publication:
- Providence, RI : American Mathematical Society, [2022]
- Summary:
- "We construct a partial compactification of the moduli space, Mk, of SU(2) magnetic monopoles on R3, wherein monopoles of charge k decompose into widely separated 'monopole clusters' of lower charge going off to infinity at comparable rates. The hyperKahler metric on Mk has a complete asymptotic expansion up to the boundary, the leading term of which generalizes the asymptotic metric discovered by Bielawski, Gibbons and Manton when each lower charge is 1"-- Provided by publisher.
- Contents:
- Introduction
- The Bogomolny equations on a scattering manifold
- Formal 1-parameter families
- Moduli of ideal monopoles
- Universal gluing space and parameterized gluing
- The metric
- Sobolev spaces
- Coulomb gauge
- Linear analysis
- Pseudodifferential operators.
- Notes:
- Includes bibliographical references.
- ISBN:
- 9781470455415
- 1470455412
- OCLC:
- 1350632406
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