Obiettivo This Proposal is a Project for a long-term professional reintegration of the Applicant in his home country at the Laboratoire Emile Picard de Mathéma- tiques, University of Toulouse III, France. The Project is fully endorsed by the Host Institution. Quantu m Topology in dimension 3 is a recent and rapidly-growing field at the intersection of Topology and Mathematical Physics. The Proposal seeks to develop new topologica! quantum field theories associated with 3-manifolds endowed with complex spin structures in order to bridge the gap between quan- tum invariants and their topological or geometrical interpretation. Some of the necessary tools were previously developped under a Marie Curie Fellowship. The Project includes the full algebraic classification (as o pposed to Witt- classification) of complex spin structures on 3-manifolds and the generalization of the Kontsevitch integral (LMO invariant) to complex spin structures. The Project provides a unifying framework for topological invariants of complex spin st ructures on 3-manifolds, including finite-type, quantum and Gauss di- agram invariants. Campo scientifico natural sciencesmathematicsapplied mathematicsmathematical physicsnatural sciencesmathematicspure mathematicstopologynatural sciencesphysical sciencesquantum physicsquantum field theory Programma(i) FP6-MOBILITY - Human resources and Mobility in the specific programme for research, technological development and demonstration "Structuring the European Research Area" under the Sixth Framework Programme 2002-2006 Argomento(i) MOBILITY-4.1 - Marie Curie European Reintegration Grants (ERG) Invito a presentare proposte FP6-2002-MOBILITY-11 Vedi altri progetti per questo bando Meccanismo di finanziamento ERG - Marie Curie actions-European Re-integration Grants Coordinatore UNIVERSITE PAUL SABATIER-TOULOUSE III Contributo UE Nessun dato Indirizzo Route de Narbonne, 118 TOULOUSE Francia Mostra sulla mappa Costo totale Nessun dato
