Geodesic
On sections of hyperelliptic Lefschetz fibrations
Tanaka, Shunsuke1
1Department of Mathematics, Graduate School of Science, Osaka University, Osaka 560-0043, Japan
Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2259-2286
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We construct a relation among right-handed Dehn twists in the mapping class group of a compact oriented surface of genus g with 4g + 4 boundary components. This relation gives an explicit topological description of 4g + 4 disjoint (−1)–sections of a hyperelliptic Lefschetz fibration of genus g on the manifold ℂℙ2 # (4g + 5)ℂℙ¯2.

DOI : 10.2140/agt.2012.12.2259
Classification : 57N13, 20F34
Keywords: 4–manifold, mapping class group, Lefschetz fibration, relation, section, Dehn twist, monodromy, hyperelliptic, rational surface

Tanaka, Shunsuke  1

1 Department of Mathematics, Graduate School of Science, Osaka University, Osaka 560-0043, Japan 
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Tanaka, Shunsuke. On sections of hyperelliptic Lefschetz fibrations. Algebraic and Geometric Topology, Tome 12 (2012) no. 4, pp. 2259-2286. doi: 10.2140/agt.2012.12.2259

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