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math.GT2017
On eigenvalues of double branched covers
Kouki Sato
For a given knot, we study the minimal number of positive eigenvalues of the double branched cover over spanning surfaces for the knot. The value gives a lower bound for various ge…
math.GT2017★ 6 cited
A full-twist inequality for the -invariant
Kouki Sato
Hom and Wu introduced a knot concordance invariant called , which dominates many concordance invariants derived from Heegaard Floer homology. In this paper, we give a full-twi…