The Weil-Petersson and Thurston symplectic forms
DUKE MATHEMATICAL JOURNAL, cilt.108, sa.3, ss.581-597, 2001 (SCI-Expanded, Scopus)
- 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.