Closed incompressible surfaces in the complements of positive knots
classification
🧮 math.GT
keywords
positiveincompressibleknotsclosedknotsurfacesalgebraicallybound
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We show that any closed incompressible surface in the complement of a positive knot is algebraically non-split from the knot, positive knots cannot bound non-free incompressible Seifert surfaces and that the splitability and the primeness of positive knots and links can be seen from their positive diagrams.
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