Objective
String Topology is a new field of research which combines several classical techniques of algebraic and geometric topology with the new ideas suggested by quantum field theory and string theory. It was opened to the mathematics community by a pioneering work of Chas and Sullivan in 1999, but it is developing rapidly in a number of directions. We propose an intensive study of this topic addressing the implication of String Topology on the understanding of the topology of the manifolds, with particular emphasis on three-dimensional manifolds. We will also develop the connections with the realm of quantum mathematics and the theory of knots.
The methods that will be used in this project will come from many areas of mathematics: from the standards tools of algebraic topology to the more recent techniques inspired by physics such as Feynman diagrams and quantization. The theory of Operads, namely the theory of the algebraic structures of some space, will also have an important role in the project.
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.
- natural sciences physical sciences quantum physics quantum field theory
- natural sciences mathematics pure mathematics topology algebraic topology
- natural sciences physical sciences theoretical physics string theory
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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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
FP6-2002-MOBILITY-5
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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
VILLENEUVE D'ASCQ
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.