Kyoto Journal of Mathematics
- Kyoto J. Math.
- Volume 56, Number 3 (2016), 501-529.
Constructing Lefschetz fibrations via daisy substitutions
We construct new families of nonhyperelliptic Lefschetz fibrations by applying the daisy substitutions to the families of words , , and in the mapping class group of the closed orientable surface of genus , and we study the sections of these Lefschetz fibrations. Furthermore, we show that the total spaces of some of these Lefschetz fibrations are irreducible exotic -manifolds, and we compute their Seiberg–Witten invariants. By applying the knot surgery to the family of Lefschetz fibrations obtained from the word via daisy substitutions, we also construct an infinite family of pairwise nondiffeomorphic irreducible symplectic and nonsymplectic -manifolds homeomorphic to for any and .
Kyoto J. Math., Volume 56, Number 3 (2016), 501-529.
Received: 1 July 2014
Revised: 9 March 2015
Accepted: 13 May 2015
First available in Project Euclid: 22 August 2016
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Akhmedov, Anar; Monden, Naoyuki. Constructing Lefschetz fibrations via daisy substitutions. Kyoto J. Math. 56 (2016), no. 3, 501--529. doi:10.1215/21562261-3600148. https://projecteuclid.org/euclid.kjm/1471872278