PLANAR OPEN BOOK DECOMPOSITIONS OF 3-MANIFOLDS

Onaran S.

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, cilt.44, sa.5, ss.1621-1630, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1216/rmj-2014-44-5-1621
  • Dergi Adı: ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1621-1630
  • Hacettepe Üniversitesi Adresli: Evet

Özet

Due to Alexander, every closed oriented 3-manifold has an open book decomposition. In this note, we review two proofs of this theorem, one which constructs a planar open book decomposition. We then present an algorithmic way for determining the monodromy of this planar open book decomposition.