## Algebraic & Geometric Topology

### On sections of hyperelliptic Lefschetz fibrations

Shunsuke Tanaka

#### Abstract

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 $ℂℙ2#(4g+5)ℂℙ¯2$.

#### Article information

Source
Algebr. Geom. Topol., Volume 12, Number 4 (2012), 2259-2286.

Dates
Revised: 10 August 2012
Accepted: 20 August 2012
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715456

Digital Object Identifier
doi:10.2140/agt.2012.12.2259

Mathematical Reviews number (MathSciNet)
MR3020206

Zentralblatt MATH identifier
1268.57010

#### Citation

Tanaka, Shunsuke. On sections of hyperelliptic Lefschetz fibrations. Algebr. Geom. Topol. 12 (2012), no. 4, 2259--2286. doi:10.2140/agt.2012.12.2259. https://projecteuclid.org/euclid.agt/1513715456

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