English

Small exotic rational surfaces without 1- and 3-handles

Geometric Topology 2012-05-23 v2

Abstract

We give new rational blowdown constructions of exotic CP^2#n(-CP^2) (5\leq n\leq 9) without using elliptic fibrations. We also show that our 4-manifolds admit handle decompositions without 1- and 3-handles, for 7\leq n\leq 9. A strategy for rational blowdown constructions of exotic CP^2#n(-CP^2) (1\leq n\leq 4) is also proposed.

Cite

@article{arxiv.0807.0373,
  title  = {Small exotic rational surfaces without 1- and 3-handles},
  author = {Kouichi Yasui},
  journal= {arXiv preprint arXiv:0807.0373},
  year   = {2012}
}

Comments

14 pages, 17 figures, minor changes

R2 v1 2026-06-21T10:56:50.010Z