Handlebody construction of Stein surfaces

@inproceedings{Gompf1998HandlebodyCO,
  title={Handlebody construction of Stein surfaces},
  author={Robert E. Gompf},
  year={1998}
}
  • Robert E. Gompf
  • Published 1998
  • Mathematics
  • The topology of Stein surfaces and contact 3-manifolds is studied by means of handle decompositions. A simple characterization of homeomorphism types of Stein surfaces is obtained-they correspond to open handlebodies with all handles of index < 2. An uncountable collection of exotic l4,'S is shown to admit Stein structures. New invariants of contact 3-manifolds are produced, including a complete (and computable) set of invariants for determining the homotopy class of a 2-plane field on a 3… CONTINUE READING

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