Exotic Rational Elliptic Surfaces without 1-handles

@inproceedings{YASUI2008ExoticRE,
  title={Exotic Rational Elliptic Surfaces without 1-handles},
  author={KOUICHI YASUI},
  year={2008}
}
  • KOUICHI YASUI
  • Published 2008
Harer, Kas and Kirby have conjectured that every handle decomposition of the elliptic surface E(1)2,3 requires both 1and 3-handles. In this article, we construct a smooth 4-manifold which has the same Seiberg-Witten invariant as E(1)2,3 and admits neither 1nor 3-handles, by using rational blow-downs and Kirby calculus. Our manifold gives the first example of either a counterexample to the Harer-Kas-Kirby conjecture or a homeomorphic but non-diffeomorphic pair of simply connected closed smooth 4… CONTINUE READING

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