Abstract
The divergence in the bosonic string partition function found by Gross and Periwal (1988) is analysed using the Schottky parametrisation of the Polyakov measure for moduli space. It is show how the problem of the integration region can be solved and how lower limits on the measure may be obtained in this domain. The factorial growth of the bound on the partition function with respect to the genus can thus be derived by translating the cut-off for closed geodesic lengths to a cut-off for Schottky group parameters.
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