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We show that if $M$ and $V$ are Seifert forms such that $M$ is metabolic and has nontrivial Alexander polynomial, then there exists a knot $K$ having Seifert form $M\oplus V$ that is not concordant to any knot with Seifert form $V$.
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참고문헌 (15)
참고문헌 신청
A. J. Casson / 1986 / A la recherche de `la topologie perdue / Birkh¨auser Boston :181~199
J. C. Cha / 2016 / A topological approach to Cheeger-Gromov universal bounds for von Neumann ρ-invariants / Comm. Pure Appl. Math 69(6):1154~1209
S. Chang / 2003 / On invariants of Hirzebruch and Cheeger-Gromov / Geom. Topol 7:311~319
J. Cheeger / 1985 / Bounds on the von Neumann dimension of L2-cohomology and the Gauss-Bonnet theorem for open manifolds / J. Differential Geom 21(1):1~34
T. D. Cochran / 2003 / Knot concordance, Whitney towers and L2-signatures / Ann. of Math. (2) 157(2):433~519
J. C. Cha / 2016 / A topological approach to Cheeger-Gromov universal bounds for von Neumann ρ-invariants / Comm. Pure Appl. Math 69(6):1154~1209
S. Chang / 2003 / On invariants of Hirzebruch and Cheeger-Gromov / Geom. Topol 7:311~319
J. Cheeger / 1985 / Bounds on the von Neumann dimension of L2-cohomology and the Gauss-Bonnet theorem for open manifolds / J. Differential Geom 21(1):1~34
T. D. Cochran / 2003 / Knot concordance, Whitney towers and L2-signatures / Ann. of Math. (2) 157(2):433~519
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