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Augmentation Rank of Satellites with Braid Pattern

dc.contributor.author Hemminger, David
dc.date.accessioned 2015-05-06T17:43:24Z
dc.date.available 2015-05-06T17:43:24Z
dc.date.issued 2015-04
dc.identifier.uri https://hdl.handle.net/10161/9741
dc.description.abstract Given a knot $K$ in $S^3$, a question raised by Cappell and Shaneson asks if the meridional rank of $K$ equals the bridge number of $K$. Using augmentations in knot contact homology we consider the persistence of equality between these two invariants under satellite operations on $K$ with a braid pattern. In particular, we answer the question in the affirmative for a large class of iterated torus knots.
dc.language.iso en_US
dc.title Augmentation Rank of Satellites with Braid Pattern
dc.type Honors thesis
dc.department Mathematics


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