Abstract/Details

Analytic aspects of periodic instantons

Charbonneau, Benoit.   Massachusetts Institute of Technology ProQuest Dissertations Publishing,  2004. 0807643.

Abstract (summary)

The main result is a computation of the Nahm transform of a SU(2)-instanton over [special characters omitted] × 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 [special characters omitted] is given, preceding a description of the heuristic behind the theory of instantons on quotients of [special characters omitted]. 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. (Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253-1690.)

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Dirac operators; Instantons; Nahm transform
Title
Analytic aspects of periodic instantons
Author
Charbonneau, Benoit
Number of pages
0
Degree date
2004
School code
0753
Source
DAI-B 66/01, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Mrowka, Tomasz S.
University/institution
Massachusetts Institute of Technology
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
0807643
ProQuest document ID
305088266
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/305088266