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math.GT2021
Pants complex, TQFT and hyperbolic geometry
Renaud Detcherry, Efstratia Kalfagianni
We introduce a coarse perspective on relations of the -Witten-Reshetikhin-Turaev TQFT, the Weil-Petersson geometry of the Teichmüller space, and volumes of hyperbolic 3-mani…
math.GT2021
A quantum obstruction to purely cosmetic surgeries
Renaud Detcherry
We present new obstructions for a knot K in S^3 to admit purely cosmetic surgeries, which arise from the study of Witten-Reshetikhin-Turaev invariants at fixed level. In particular…