An infinite family of exotic Dolgachev surfaces without 1- and 3- handles

Details An infinite family of exotic Dolgachev surfaces without 1- and 3- handles An infinite family of exotic Dolgachev surfaces without 1- and 3- handles

2009-06-17

arxiv.org/abs/0906.3107v2

Mathematics

Geometric Topology

22 pages, 18 figures. Appeared in Journal of GGT.

Scientific paper

Starting with the Dolgachev surface E(1)_{2,3} we construct an infinite
family of distinct exotic copies of the rational surface E(1), each of which
admits a handlebody decomposition without 1- and 3- handles, and we draw these
handlebodies.

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