Genus two 3-manifolds are built from handle number one pieces.
Sedgwick, Eric (2001)
Algebraic & Geometric Topology
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Sedgwick, Eric (2001)
Algebraic & Geometric Topology
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Banach Center Publications
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A necessary and sufficient condition for an immersed surface in 3-space to be lifted to an embedding in 4-space is given in terms of colorings of the preimage of the double point set. Giller's example and two new examples of non-liftable generic surfaces in 3-space are presented. One of these examples has branch points. The other is based on a construction similar to the construction of Giller's example in which the orientation double cover of a surface with odd Euler characteristic...
Bachman, David, Derby-Talbot, Ryan; (2006)
Algebraic & Geometric Topology
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Agol, Ian, Li, Tao (2003)
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Dunfield, Nathan M., Thurston, William P. (2003)
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Roushon, S. K. (2003)
Algebraic & Geometric Topology
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Crisp, John, Wiest, Bert (2004)
Algebraic & Geometric Topology
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