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Comments on Summing over Bordisms in TQFT
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Recent works in quantum gravity, motivated by the factorization problem and baby universes, have considered sums over bordisms with fixed boundaries in topological quantum field theory (TQFT). We discuss this construction and observe a curious splitting formula for the total amplitude.
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On Atiyah-Segal axioms for Witten-type TQFTs
A modified trace map with a background-particle insertion is proposed, yielding a unitary Atiyah-Segal formulation for Witten-type TQFTs; the mechanism is shown for CP^n.
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