A Fourier-Mukai transform for invariant differential cohomology.
Date
2011
Authors
Green, Richard
Editors
Advisors
Varghese, Mathai
Murray, Michael Kevin
Murray, Michael Kevin
Journal Title
Journal ISSN
Volume Title
Type:
Thesis
Citation
Statement of Responsibility
Conference Name
Abstract
Considering real tori as a differential-geometric analogue of abelian varieties, we consider the corresponding analogue of the Fourier-Mukai transform. The transform at the level of ordinary cohomology is refined to a Fourier-Mukai transform for the invariant differential cohomology of a torus or more generally a trivialtorus bundle.
School/Discipline
School of Mathematical Sciences
Dissertation Note
Thesis (Ph.D.) -- University of Adelaide, School of Mathematical Sciences, 2011
Provenance
Copyright material removed from digital thesis. See print copy in University of Adelaide Library for full text.