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

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