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A construction of semi-infinite de Rham cohomology
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Stacey, Andrew Edgell (2001) A construction of semi-infinite de Rham cohomology. PhD thesis, University of Warwick.
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Official URL: http://webcat.warwick.ac.uk/record=b1375748~S1
Abstract
The purpose of this thesis is to describe a construction of semi-infinite de
Rham cohomology for infinite dimensional manifolds equipped with the extra
structure of a polarisation. We describe the construction for finite dimensions
and show how it extends to other cases; in particular the semi-infinite. We
then define variations for Hilbert manifolds which allow us to calculate the
semi-infinite cohomology of the projective space and the Grassmannians of
a polarised Hilbert space. Finally, we consider some of the implications of
these results for index theory, in particular for the Witten genus.
Item Type: | Thesis (PhD) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Mathematics -- Research, Homology theory, Modules (Algebra) , Hilbert modules , Finite model theory | ||||
Official Date: | July 2001 | ||||
Dates: |
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Institution: | University of Warwick | ||||
Theses Department: | Mathematics Institute | ||||
Thesis Type: | PhD | ||||
Publication Status: | Unpublished | ||||
Supervisor(s)/Advisor: | Jones, J. D. S. (John D. S.) | ||||
Extent: | iii, 140 leaves | ||||
Language: | eng |
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