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Analytic aspects of periodic instantons

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dc.contributor.advisor Tomasz S. Mrowka. en_US Charbonneau, Benoit, 1976- en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Mathematics. en_US 2005-09-06T19:56:30Z 2005-09-06T19:56:30Z 2004 en_US 2004 en_US
dc.description Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004. en_US
dc.description This electronic version was submitted by the student author. The certified thesis is available in the Institute Archives and Special Collections. en_US
dc.description Includes bibliographical references (p. 131-134) and index. en_US
dc.description.abstract The main result is a computation of the Nahm transform of a SU(2)-instanton over R x T³, called spatially-periodic instanton. It is a singular monopole over T³, a solution to the Bogomolny equation, whose rank is computed and behavior at the singular points is understood under certain conditions. A full description of the Riemannian ADHMN construction of instantons on R⁴ is given, preceding a description of the heuristic behind the theory of instantons on quotients of R⁴. The Fredholm theory of twisted Dirac operators on cylindrical manifolds is derived, the spectra of spin Dirac operators on spheres and on product manifolds are computed. A brief discussion on the decay of spatially-periodic and doubly-periodic instantons is included. en_US
dc.description.statementofresponsibility by Benoit Charbonneau. en_US
dc.format.extent 136 p. en_US
dc.format.extent 823138 bytes
dc.format.extent 837026 bytes
dc.format.mimetype application/pdf
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. en_US
dc.subject Mathematics. en_US
dc.title Analytic aspects of periodic instantons en_US
dc.type Thesis en_US Ph.D. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.identifier.oclc 60351863 en_US

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