Objective The aim is to study curves and surfaces in 3-space, using discrete combinatorial data including braid and polygonal descriptions of curves and graphs. Polygonal descriptions will be used to capture features of curves and surfaces, which have a small number of extreme points measured in all spatial directions. Building on his previous successful visit to Liverpool under the INTAS scheme, recent methods of 3-page presentations for curves and graphs, familiar to the fellow, will be explored further. The interplay of these methods with braid techniques will allow the fellow to diversify and extend his knowledge of braids and knot invariants. Investigations will be directed in the first instance at embedded trivalent graphs having very few local maxima, and at knots, which can be realised as closed braids on 4 strings, and properties of their Jones polynomials. Fields of science natural sciencesmathematicspure mathematicstopologyknot theorynatural sciencesmathematicspure mathematicsalgebra Keywords 3-page presentations Low-dimensional topology braids embedded graphs extreme points knots Programme(s) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Topic(s) MOBILITY-2.3 - Marie Curie Incoming International Fellowships (IIF) Call for proposal FP6-2002-MOBILITY-7 See other projects for this call Funding Scheme IIF - Marie Curie actions-Incoming International Fellowships Coordinator THE UNIVERSITY OF LIVERPOOL Address Senate house, abercromby square Liverpool United Kingdom See on map Links Website Opens in new window EU contribution € 0,00
