Tahl Nowik
Published 2006-12-27Version 1
The self intersection of an immersion i : S^2 \to R^3 dissects S^2 into pieces which are planar surfaces (unless i is an embedding). In this work we determine what collections of planar surfaces may be obtained in this way. In particular, for every n we construct an immersion i : S^2 \to R^3 with 2n triple points, for which all pieces are discs.
Differential 3-knots in 5-space with and without self intersections
The Jones polynomial of collections of open curves in 3-space
Geometry of planar surfaces and exceptional fillings
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