The topology of spaces of rational curves

Objective

Research objectives and content
The objective of this project is to understand the topological structure of the space of all rational curves on a toric variety. Every such variety admits a combinatorial description, and so does the space of rational curves on it.
One hopes to use this description to apply the homotopy theoretic machinery of iterated loop spaces.
Training content(objective,benefit and expected impact)
The Mathematical Institute in Oxford,where i am reading for D.Phil. Degree, hosts the geometry and the topology research groups. The activity of Donaldson,Kirwan,Steer,Tillmann in algebraic geometry,gauge theory, homotopy theory,is relevant to the project.

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

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

Participants (1)

Not available

Italy