Open Access
April, 2005 Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations
Seiichi KAMADA, Yukio MATSUMOTO, Takao MATUMOTO, Keita WAKI
J. Math. Soc. Japan 57(2): 537-555 (April, 2005). DOI: 10.2969/jmsj/1158242070

Abstract

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.

Citation

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Seiichi KAMADA. Yukio MATSUMOTO. Takao MATUMOTO. Keita WAKI. "Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations." J. Math. Soc. Japan 57 (2) 537 - 555, April, 2005. https://doi.org/10.2969/jmsj/1158242070

Information

Published: April, 2005
First available in Project Euclid: 14 September 2006

zbMATH: 1080.57022
MathSciNet: MR2123244
Digital Object Identifier: 10.2969/jmsj/1158242070

Subjects:
Primary: 57M99
Secondary: 32S50

Keywords: chart description , Lefschetz fibration

Rights: Copyright © 2005 Mathematical Society of Japan

Vol.57 • No. 2 • April, 2005
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