Unique fiber sum decomposability of genus 2 Lefschetz fibrations

@article{Park2015UniqueFS,
title={Unique fiber sum decomposability of genus 2 Lefschetz fibrations},
author={Jun-Yong Park},
journal={arXiv: Geometric Topology},
year={2015}
}
• Jun-Yong Park
• Published 2015
• Mathematics
• arXiv: Geometric Topology
• By applying the lantern relation substitutions to the positive relation of the genus two Lefschetz fibration over $\mathbb{S}^{2}$. We show that $K3\#2 \overline{\mathbb{CP}}{}^{2}$ can be rationally blown down along seven disjoint copies of the configuration $C_2$. We compute the Seiberg-Witten invariant of the resulting symplectic 4-manifolds, and show that they are symplectically minimal. We also investigate how these exotic smooth 4-manifolds constructed via lantern relation substitution… CONTINUE READING