Objective
The goal of this project is to study the topology of Stein manifolds from the viewpoint of symplectic and contact geometry. It addresses the fundamental questions of the subject: - How does the Lagrangian skeleton of a Stein manifold determine the Stein structure? - To what extent the study of Stein structures can be reduced to a combinatorial study of the skeleton? - How are the symplectic invariants of Stein manifolds, respectively the contact invariants of their boundary, determined by the skeleton? For the topological part, we will use as a source of inspiration the theory of spines and shadows of 3- and 4- manifolds. One of the goals of this research project is to adapt it to the setup of Stein manifolds and develop a calculus of Lagrangian shadows. Concerning invariants of contact manifolds, we aim to interpret symplectic homology of Stein manifolds and contact homology of their boundaries in topological terms, with the skeleton playing a central role. Further ramifications of this research project include the development of string topology on singular (stratified) spaces and the symplectic study of singularities.
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.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
ERC-2010-StG_20091028
See other projects for this call
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.
Host institution
75794 PARIS
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.