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nateHI
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If I understand the theory of quantum invariants of 3-manifolds correctly (possibly I don't), TQFTs on different presentations of closed 3-manifolds produce different values. However, the same quantum invariants (Reshetikhin-Turaev invariants for example) are produced on a closed manifold regardless of the presentation (Heedgaard decomposition). These invariants are said to be analogous to observables in quantum field theory. Do the varying values of TQFTs on presentations of closed 3-manifolds have a physical interpretation as well?
EDIT: Corrected a grammatical error that seems slight but makes a big difference in the question.
EDIT: Corrected a grammatical error that seems slight but makes a big difference in the question.
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