The Weil-Petersson and Thurston symplectic forms

Sozen Y., BONAHON F.

DUKE MATHEMATICAL JOURNAL, cilt.108, sa.3, ss.581-597, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 108 Sayı: 3
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1215/s0012-7094-01-10836-3
  • Dergi Adı: DUKE MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.581-597
  • Hacettepe Üniversitesi Adresli: Hayır

Özet

We consider the Weil-Petersson form on the Teichmuller space T(S) of a surface S of genus at least 2, and we compute it in terms of the shearing coordinates for T(S) associated to a geodesic lamination lambda on S. In the corresponding expression the Weil-Petersson form coincides with Thurston's intersection form on the space of transverse cocycles for lambda.