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Content archived on 2024-05-29

Quantum topology and 3-manifolds

Objective

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.

Fields of science (EuroSciVoc)

Topic(s)

Call for proposal

FP6-2002-MOBILITY-11
See other projects for this call

Funding Scheme

ERG - Marie Curie actions-European Re-integration Grants

Coordinator

UNIVERSITE PAUL SABATIER-TOULOUSE III
EU contribution
No data
Address
Route de Narbonne, 118
TOULOUSE
France
Total cost
No data