European Commission logo
español español
CORDIS - Resultados de investigaciones de la UE
CORDIS
Contenido archivado el 2024-04-30

Floer homology, symplectic automorphism groups and algebraic k-theory

Objetivo



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.

Convocatoria de propuestas

Data not available

Coordinador

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Aportación de la UE
Sin datos
Dirección
St Giles' 24-29
OX1 3LB OXFORD
Reino Unido

Ver en el mapa

Coste total
Sin datos

Participantes (1)