INCOMPRESSIBLE ONE-SIDED SURFACES IN EVEN FILLINGS OF FIGURE 8 KNOT SPACE
2012 ◽
Vol 21
(07)
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pp. 1250070
In the closed, non-Haken, hyperbolic class of examples generated by (2p, q) Dehn fillings of Figure 8 knot space, the geometrically incompressible one-sided surfaces are identified by the filling ratio [Formula: see text] and determined to be unique in all cases. When applied to one-sided Heegaard splitting, this can be used to classify all geometrically incompressible splittings in this class of closed, hyperbolic examples; no analogous classification exists for two-sided Heegaard splitting.
2016 ◽
Vol 33
(2)
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pp. 138
2021 ◽
Vol 660
(1)
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pp. 012079
1995 ◽
Vol 10
(11)
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pp. 853-858
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2002 ◽
Vol 39
(9)
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pp. 679-684
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