Objective
This application proposes a period of mobility to place a researcher currently developing his own long-term research plan into a leading international research group in the study of torsion and quantum invariants. The goals of the proposal are to complete applicants training on low dimensional topology, and to contribute new scientific results to the area. The scientific aim is to develop the theory of branched shadows of 4-manifolds through two applications: finding 2-cohomology classes satisfying adjunction inequalities (in particular Seiberg-Witten classes) and defining new Quantum Invariants.
The first application will use the equality in the 3-dimensional case between torsion and Seiberg-Witten invariants which allows one to calculate the latter through branched spines. A combinatorial object based on branched shadows will be defined to find cohomology classes satisfying the adjunction inequalities in 4-manifolds. This object will represent a codimension 2 torsion and will be related to Seiberg-Witten invariants. The second application will be a generalization through branched shadows of the Quantum Hyperbolic Invariants defined by Baseilhac and Benedetti through branched spines.
The objectives will be met by combining the hosts expert knowledge of the methods and techniques of torsions and quantum invariants with the researchers background knowledge on branched shadows. By joining one of the top international research teams in the field, experienced in providing training through research at all levels, the applicant will: learn new methods and techniques in the study of torsion and quantum groups, increase his involvement and enhance links with the community, diversify his expertise, particularly deepening his knowledge on Quantum Invariants. This will build on his existing knowledge providing essential complementary techniques, and thus allow him to complete his training in the theories of torsion and quantum invariants, and establish himself in?
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.
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Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
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
STRASBOURG
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.