Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations
KAMADA, Seiichi ; MATSUMOTO, Yukio ; MATUMOTO, Takao ; WAKI, Keita
J. Math. Soc. Japan, Tome 57 (2005) no. 4, p. 537-555 / Harvested from Project Euclid
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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.
Publié le : 2005-04-14
Classification:  Lefschetz fibration,  chart description,  57M99,  32S50 
@article{1158242070,
     author = {KAMADA, Seiichi and MATSUMOTO, Yukio and MATUMOTO, Takao and WAKI, Keita},
     title = {Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations},
     journal = {J. Math. Soc. Japan},
     volume = {57},
     number = {4},
     year = {2005},
     pages = { 537-555},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1158242070}
}

KAMADA, Seiichi; MATSUMOTO, Yukio; MATUMOTO, Takao; WAKI, Keita. Chart description and a new proof of the classification theorem of genus one Lefschetz fibrations. J. Math. Soc. Japan, Tome 57 (2005) no. 4, pp.  537-555. http://gdmltest.u-ga.fr/item/1158242070/