The Dolgachev Surface

Details The Dolgachev Surface The Dolgachev Surface

2008-05-11

arxiv.org/abs/0805.1524v4

Mathematics

Geometric Topology

52 pages 46 figures. A new theorem about the cork structure of the Dolgachev surface is added

Scientific paper

We prove that the Dolgachev surface E(1)_{2,3} admits a handlebody
decomposition without 1- and 3- handles, and we draw the explicit picture of
this handlebody. We also locate a "cork" inside of E(1)_{2,3}, so that
E(1)_{2,3} is obtained from E(1) by twisting along this cork.

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