Classification of broken Lefschetz fibrations with small fiber genera

• Baykur R. İnanç

  Department of Mathematics and Statistics, University of Massachusetts

• Kamada Seiichi

  Department of Mathematics, Hiroshima University

抄録

In this article, we generalize the classification of genus one Lefschetz fibrations to genus one simplified broken Lefschetz fibrations, which have fibers of genera one and zero. We classify genus one Lefschetz fibrations over the 2-disk with certain non-trivial global monodromies using chart descriptions, and identify the 4-manifolds admitting genus one simplified broken Lefschetz fibrations up to blow-ups.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 67 (3), 877-901, 2015

  一般社団法人 日本数学会

キーワード

• broken Lefschetz fibration
• classification

詳細情報

• CRID: 1390282680092558592
• NII論文ID: 130005094185
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06730877
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• ISSN: http://id.crossref.org/issn/00255645
• NDL書誌ID: 026602929
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026602929
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可