STEIN
TOPOLOGY OF STEIN MANIFOLDS
| Coordinatore | CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Spiacenti, non ci sono informazioni su questo coordinatore. Contattare Fabio per maggiori infomrazioni, grazie. |
| Nazionalità Coordinatore | France [FR] |
| Totale costo | 1˙053˙101 € |
| EC contributo | 1˙053˙101 € |
| Programma | FP7-IDEAS-ERC
Specific programme: "Ideas" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013) |
| Code Call | ERC-2010-StG_20091028 |
| Funding Scheme | ERC-SG |
| Anno di inizio | 2010 |
| Periodo (anno-mese-giorno) | 2010-09-01 - 2016-08-31 |
Partecipanti
| # | ||||
|---|---|---|---|---|
| 1 |
UNIVERSITE DE STRASBOURG
Organization address
address: rue Blaise Pascal 4 contact info |
FR (Strasbourg) | beneficiary | 110˙180.16 |
| 2 |
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Organization address
address: Rue Michel -Ange 3 contact info |
FR (PARIS) | hostInstitution | 942˙921.06 |
| 3 |
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE
Organization address
address: Rue Michel -Ange 3 contact info |
FR (PARIS) | hostInstitution | 942˙921.06 |
Mappa
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Obiettivo del progetto (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.'