Small exotic rational surfaces without 1- and 3-handles

Kouichi Yasui

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arXiv · 0807.0373

Small exotic rational surfaces without 1- and 3-handles

Kouichi Yasui

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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.

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Kouichi Yasui. 2008-07-24. Small exotic rational surfaces without 1- and 3-handles. https://arxiv.org/abs/0807.0373

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