Mr Edward Ross
|Amphibious assault planning: two-dimensional bin packing with rotation and priority||Matthew Bland||2011|
|Accumulated reward in Markov reward models||Kate Menzel||2011|
Master of Philosophy supervision
|Stochastic modelling of ecological systems|| |
Doctor of Philosophy supervision
On compact, simply connected, smooth four-manifolds with definite intersection form
This is an investigation into a theorem Simon Donaldson established in âAn application of gauge
theory to four dimensional topologyâ, published in the Journal of Differential Geometry in 1983.
Here the intersection form is introduced and the classification of compact, simply connected 4-
manifolds is stated to provide the appropriate context. Donaldsonâs theorem on compact, simply
connected smooth 4-manifolds with positive definite intersection form is stated, and his original
proof is outlined. We conclude with a brief review of implications of these results and a comparison
of 4-manifolds with manifolds of other dimensions.