Objective Recently strong links between mathematical physics, symplectic geometry and algebraic geometry have been established through the discovery of 'quantum cohomology'. The proposed project would be to study connections between the topology of symplectic automorphism groups and the algebraic structure of the quantum cohomology ring. This includes the development of algebro-geometric methods to make computations in Floer homology. A second part would treat analogues of the classical K-theoretical surgery obstructions (leading for example to a 'Floer simple homotopy type'). The methods to be used come from nonlinear analysis, topology and algebraic geometry. Research would be supervised by Prof. Donaldson, leading to a D. Phil thesis. Fields of science medical and health sciencesclinical medicinesurgerynatural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicstopologysymplectic topologynatural sciencesmathematicspure mathematicsgeometrynatural sciencesmathematicspure mathematicsalgebraalgebraic geometry Programme(s) FP4-TMR - Specific research and technological development programme in the field of the training and mobility of researchers, 1994-1998 Topic(s) 0302 - Post-doctoral research training grants TM22 - Geometry and Topology Call for proposal Data not available Funding Scheme RGI - Research grants (individual fellowships) Coordinator THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD Address St giles' 24-29 OX1 3LB Oxford United Kingdom See on map EU contribution € 0,00 Participants (1) Sort alphabetically Sort by EU Contribution Expand all Collapse all Not available Italy EU contribution € 0,00 Address See on map
