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arXiv:math/0602097 [math.GT]AbstractReferencesReviewsResources

3-cobordisms with their rational homology on the boundary

Dorin Cheptea, Thang T Q Le

Published 2006-02-06Version 1

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.

Comments: 16 pages, 7 figures. Observation: 90% of the content has been previously part of math.GT/0508220 version 1, which now has been replaced with version 2, where the respective part was removed (except a few statements which were left for reference). The results here are independent of that paper and can be used also in differnt context from that of GT/0508220
Categories: math.GT
Subjects: 57M27, 57R56, 81T45, 57R65
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