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- D. Schaile7 profiles46 · h 87
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- University of WashingtonUS50 papers
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4 papers · 2 filters
On Transverse Knots and Branched Covers
Shelly Harvey, Keiko Kawamuro, Olga Plamenevskaya
We study contact manifolds that arise as cyclic branched covers of transverse knots in the standard contact 3-sphere. We discuss properties of these contact manifolds and describe…
Khovanov-Rozansky homology and the braid index of a knot
Keiko Kawamuro
We prove the existence of a knot whose braid index the Morton-Franks-Williams inequality fails to detect but a related inequality (KR-MFW inequality), which uses new information of…
Knot concordance and Blanchfield duality
Tim D. Cochran, Shelly Harvey, Constance Leidy
We introduce a new technique for showing classical knots and links are not slice. As one application we resolve a long-standing question as to whether certain natural families of k…
Homology and Derived p-Series of Groups
Tim D. Cochran, Shelly Harvey
We prove that groups that are mod-p-homology equivalent are isomorphic modulo any term of their derived p-series, in precise analogy to Stallings' 1963 result for the lower-central…