Estimates of Weil-petersson Volumes via Effective Divisors

نویسندگان

  • GEORG SCHUMACHER
  • STEFANO TRAPANI
چکیده

The Mumford class κ1 on Mg,0 was shown to be proportional to the cohomology class [ωWP ] of the Weil-Petersson form by Wolpert in [WO]. Furthermore he showed that the restriction of this class to any component of the compactyfying divisor coincides with the corresponding Weil-Petersson class. Arbarello and Cornalba introduced classes κ1 on Mg,n, proved a similar restriction property for these and concluded proportionality on all Mg,n [A-C 2]. So Weil-Petersson volumes vol(Mg,n) are up to a normalizing factor the intersection numbers

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تاریخ انتشار 2008