Skip to main content
Przejdź do strony domowej Komisji Europejskiej (odnośnik otworzy się w nowym oknie)
polski pl
CORDIS - Wyniki badań wspieranych przez UE
CORDIS
Zawartość zarchiwizowana w dniu 2024-06-10

A natural framing of knots

Cel



Research objectives and content To deepen the understanding of how many intersections of which sign of boundary with interior a disk in 3-space must have, depending on the knot type of the boundary; to study the relations between these numbers, and other, better known knot invariants, and how they reflect the interactions between the topological and geometric properties of knots. More specifically, to illuminate the relation between the 'natural framing number', the signature, and the unknotting number of knots, to calculate the natural framing of Seifert fibred knots, to give formulae for satellite- and two bridge knots, and, in the case of hyperbolic knots, to investigate the geometric meaning of the natural framing number. Training content (objective, benefit and expected impact) To deepen my understanding of the geometric properties of knots and knot groups. To establish myself as a researcher in geometric topology and 3-manifold theory, by way of profiting from and contributing to the team of topologists at the U Provence. Links with industry / industrial (22)

Dziedzina nauki (EuroSciVoc)

Program(-y)

Temat(-y)

Zaproszenie do składania wniosków

Brak dostępnych danych

System finansowania

RGI - Research grants (individual fellowships)

Koordynator

UNIVERSITÉ DE PROVENCE, AIX-MARSEILLE
Wkład UE
Brak danych
Adres
Rue Joliot Curie 39 CNRS UMR 6632
13453 MARSEILLE
Francja
Koszt całkowity
Brak danych