Objective
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)
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- engineering and technology mechanical engineering vehicle engineering aerospace engineering satellite technology
- natural sciences mathematics pure mathematics topology
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Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
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Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Funding Scheme
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.
Coordinator
13453 MARSEILLE
France
The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.