Almost integral TQFTs from simple Lie algebras.

Chen, Qi; Le, Thang

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We consider a cobordism category whose morphisms are punctured connected sums of $S^{1} \times S^{2}$ ’s (wormhole spaces) with embedded admissibly colored banded trivalent graphs. We define a TQFT on this cobordism category over the field of rational functions in an indeterminant A. For r large, we recover, by specializing A to a primitive 4rth root of unity, the Witten-Reshetikhin-Turaev TQFT restricted to links in wormhole spaces. Thus, for r large, the rth Witten-Reshetikhin-Turaev invariant of a link...

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