Objetivo
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.
Ámbito científico
CORDIS clasifica los proyectos con EuroSciVoc, una taxonomía plurilingüe de ámbitos científicos, mediante un proceso semiautomático basado en técnicas de procesamiento del lenguaje natural.
CORDIS clasifica los proyectos con EuroSciVoc, una taxonomía plurilingüe de ámbitos científicos, mediante un proceso semiautomático basado en técnicas de procesamiento del lenguaje natural.
Palabras clave
Convocatoria de propuestas
FP6-2002-MOBILITY-7
Consulte otros proyectos de esta convocatoria
Régimen de financiación
IIF - Marie Curie actions-Incoming International FellowshipsCoordinador
LIVERPOOL
Reino Unido