by

Bernd Ammann, Emmanuel Humbert

DOI 10.1515/CRELLE.2008.079

where the infimum runs over all metrics g of volume 1 in a conformal class [g_0] on M and where the supremum runs over all conformal classes [g_0] on M.

Let (M^{#},χ^{#}) be obtained from (M,χ) by 0-dimensional surgery. We prove that

As a corollary we can calculate τ(M,χ) for any Riemann surface M.

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The Paper was written on 27.7.2006

Last update 27.7.2006