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Contenuto archiviato il 2024-06-18

Combinatorial knot theory

Obiettivo

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.

Invito a presentare proposte

FP6-2002-MOBILITY-7
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Coordinatore

THE UNIVERSITY OF LIVERPOOL
Contributo UE
Nessun dato
Indirizzo
Senate House, Abercromby Square
LIVERPOOL
Regno Unito

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