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- W20437631 abstract "The purpose of this thesis is to describe a construction of semi-infinite deRham cohomology for infinite dimensional manifolds equipped with the extrastructure of a polarisation. We describe the construction for finite dimensionsand show how it extends to other cases; in particular the semi-infinite. Wethen define variations for Hilbert manifolds which allow us to calculate thesemi-infinite cohomology of the projective space and the Grassmannians ofa polarised Hilbert space. Finally, we consider some of the implications ofthese results for index theory, in particular for the Witten genus." @default.
- W20437631 created "2016-06-24" @default.
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- W20437631 date "2001-07-01" @default.
- W20437631 modified "2023-10-17" @default.
- W20437631 title "A construction of semi-infinite de Rham cohomology" @default.
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- W20437631 hasPublicationYear "2001" @default.
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