3-cobordisms with their rational homology on the boundary

Details 3-cobordisms with their rational homology on the boundary 3-cobordisms with their rational homology on the boundary

2006-02-06

arxiv.org/abs/math/0602097v1

Mathematics

Geometric Topology

16 pages, 7 figures. Observation: 90% of the content has been previously part of math.GT/0508220 version 1, which now has been

Scientific paper

The object of this paper is to define a subcategory of the category of 3-cobordisms to which invariants of rational homology 3-spheres should generalize. We specify the notion of Topological Quantum Field Theory (in the sense of Atiyah) to this case, and prove two interesting properties that these TQFTs always have. In the case of the LMO invariant these properties amount to saying that the TQFT is anomaly-free.

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