Asymptotics of the Hilbert - Smith Norm in Tqft

ar X iv : m at h . Q A / 0 60 52 91 v 1 1 1 M ay 2 00 6 ASYMPTOTICS OF THE HILBERT - SMITH NORM OF CURVE OPERATORS IN TQFT JØRGEN

Applying standard techniques from Toeplitz operator theory, we analyze the asymptotics of the Hilbert-Smith norms of the TQFT operators coming from isotopy classes of one dimensional oriented submanifolds on a closed oriented surface. We thereby obtain a Toeplitz operator interpretation and generalization of the asymptotic formula obtained recently by Marché and Narimannejad in [MN].

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