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Details of Grant 

EPSRC Reference: GR/S55828/01
Title: Loop spaces, Stanley-Reisner algebras, and higher commutativity
Principal Investigator: Ray, Professor N
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Researcher Co-Investigators:
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Department: Mathematics
Organisation: Victoria University of Manchester, The
Scheme: Standard Research (Pre-FEC)
Starts: 01 August 2003 Ends: 31 January 2004 Value (£): 9,500
EPSRC Research Topic Classifications:
Algebra & Geometry
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Summary on Grant Application Form
The proposal aims to understand emerging links between the algebraic topology of loop spaces associated to toric geometry and thecombinatorics of invariants associated to Stanley-Reisner algebras. Initial calculations of rational Pontryagin rings will be made for flag complexes, where results are likely to be more predictable; generalisations will be introduced systematically as the project proceeds, in the light of key examples.
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