Permanent link to this recordhttp://hdl.handle.net/20.500.12613/5789
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Abstract© 2015, Mathematical Sciences Publishers. All Rights Reserved. We prove that in the complement of a highly twisted link, all closed, essential, meridionally incompressible surfaces must have high genus. The genus bound is proportional to the number of crossings per twist region. A similar result holds for surfaces with meridional boundary: such a surface either has large negative Euler characteristic or is an n–punctured sphere visible in the diagram.
Citation to related workMathematical Sciences Publishers
Has partAlgebraic and Geometric Topology
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