%0 Journal Article
%T A TQFT associated to the LMO invariant of three-dimensional manifolds
%A Dorin Cheptea
%A Thang T Q Le
%J Mathematics
%D 2005
%I arXiv
%R 10.1007/s00220-007-0241-3
%X We construct a Topological Quantum Field Theory (in the sense of Atiyah) associated to the universal finite-type invariant of 3-dimensional manifolds, as a functor from the category of 3-dimensional manifolds with parametrized boundary, satisfying some additional conditions, to an algebraic-combinatorial category. It is built together with its truncations with respect to a natural grading, and we prove that these TQFTs are non-degenerate and anomaly-free. The TQFT(s) induce(s) a (series of) representation(s) of a subgroup ${\cal L}_g$ of the Mapping Class Group that contains the Torelli group. The N=1 truncation produces a TQFT for the Casson-Walker-Lescop invariant.
%U http://arxiv.org/abs/math/0508220v2