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Title: A construction of semi-infinite de Rham cohomology
Author: Stacey, Andrew Edgell
Awarding Body: University of Warwick
Current Institution: University of Warwick
Date of Award: 2001
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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.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: QA Mathematics