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A characterization of the Murasugi polynomial of an equivariant slice knot
Jae Choon Cha
We characterize the Murasugi polynomial of an equivariant slice knot by proving a conjecture of J. Davis and S. Naik.
Knot signature functions are independent
Jae Choon Cha, Charles Livingston
To each unit complex number with positive imaginary part there is defined a Tristram-Levine knot signature function. The set of all such signature functions is linearly independent…
Signatures of covering links
Jae Choon Cha, Ki Hyoung Ko
The theory of signature invariants of links in rational homology spheres is applied to covering links of homology boundary links. From patterns and Seifert matrices of homology bou…
Signatures of links in rational homology spheres
Jae Choon Cha, Ki Hyoung Ko
A theory of signatures for odd-dimensional links in rational homology spheres is studied via their generalized Seifert surfaces. The jump functions of signatures are shown invarian…
The effect of mutation on link concordance, 3-manifolds and the Milnor invariants
Jae Choon Cha
We study the effect of mutation on link concordance and 3-manifolds. We show that the set of links concordant to sublinks of homology boundary links is not closed under positive mu…