Objective
Research objectives and content
The purpose of my research project is to investigate the connection between the topology and geometry of 3-dimensional manifolds and the algebraic and analytic properties of their representation spaces. The main part of the project deals with the exploration of the link between analytic and algebraic-topological methods. The gauge theory plays a central role in my project because it provides the connection between topology and analysis.
My objective is to find an algebraic and topological interpretation of invariants of 3-dimensional rnanifolds which are defined via gauge theory (e.g. Chern-Simons invariant and Floer homology). More precisely, two key goals are, firstly to find an extension of Casson's invariant for 3-dimensional manifolds with boundary and secondly to give an algebraic-topological interpretation of the Jones polynomial are other aims of my project.
Besides this principal project my host Michel Boileau (Pr University), Joan Poni (CR CNRS) and myself plan to engage on a common research project. The aim of the common project is to prove Thurston's orbifold conjecture at worst in some special cases.
Training content (objective, benefit and expected impact)
The training will enable me to present my "Habilitation" at the Universitat-Gesamthochschule-Siegen. Therefore, I expect the training should have a strong positive impact on the prospects of my career. I am sure I will benefit from the daily contact with the specialists already working in Toulouse.
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 mathematics pure mathematics topology
- natural sciences mathematics pure mathematics geometry
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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
31062 TOULOUSE
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.