Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations

Seiichi KAMADA; Yukio MATSUMOTO; Takao MATUMOTO; Keita WAKI

doi:10.2969/jmsj/1158242070

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations

Seiichi KAMADA, Yukio MATSUMOTO, Takao MATUMOTO, Keita WAKI

著者情報

キーワード: Lefschetz fibration, chart description

ジャーナルフリー

2005 年 57 巻 2 号 p. 537-555

DOI https://doi.org/10.2969/jmsj/1158242070

詳細

抄録

We introduce a graphical method, called the chart description, to describe the monodromy representation of a genus one Lefschetz fibration. Using this method, we give a new and purely combinatorial proof of the classification theorem of genus one Lefschetz fibrations.