Search Results - "Kadokami, Teruhisa"
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Amphicheirality of links and Alexander invariants
Published in Science China. Mathematics (01-10-2011)“…We obtain an equation among invariants obtained from the Alexander module of an amphicheiral link. For special cases, it deduces necessary conditions on the…”
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LENS SPACE SURGERIES ALONG CERTAIN 2-COMPONENT LINKS RELATED WITH PARK’S RATIONAL BLOW DOWN, AND REIDEMEISTER-TURAEV TORSION
Published in Journal of the Australian Mathematical Society (2001) (01-02-2014)“…We study lens space surgeries along two different families of 2-component links, denoted by ${A}_{m, n} $ and ${B}_{p, q} $, related with the rational homology…”
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3
The Ma-Qiu index and the Nakanishi index for a fibered knot are equal, and $\omega$-solvability
Published 26-09-2022“…For a knot $K$ in $S^3$, let $G(K)$ be the knot group of $K$, $a(K)$ the Ma-Qiu index (the MQ index, for short), which is the minimal number of normal…”
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Reidemeister torsion and lens surgeries on knots in homology 3-spheres II
Published in Topology and its applications (01-09-2008)“…We introduce the norm and the order of a polynomial and of a homology lens space. We calculate the norm of the cyclotomic polynomials, and apply it to lens…”
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Reidemeister torsion of Seifert fibered homology lens spaces and Dehn surgery
Published in Algebraic & geometric topology (01-01-2007)Get full text
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Seifert surgery on knots via Reidemeister torsion and Casson–Walker–Lescop invariant
Published in Topology and its applications (15-06-2015)“…For a knot K with ΔK(t)≐t2−3t+1 in a homology 3-sphere, let M be the result of 2/q-surgery on K. We show that appropriate assumptions on the Reidemeister…”
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Finite slope cyclic surgeries along toroidal Brunnian links and generalized Properties P and R
Published 06-04-2015“…Let $M_{\lambda}$ be the $\lambda$-component Milnor link. For $\lambda \ge 3$, we determine completely when a finite slope surgery along $M_{\lambda}$ yields a…”
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Hyperbolicity and identification of Berge knots of types VII and VIII
Published 02-07-2011“…T. Saito and M. Teragaito asked whether Berge knots of type VII are hyperbolic, and showed that some infinite sequences of the knots are hyperbolic. We show…”
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Amphicheiral links with special properties, II
Published 02-07-2011“…We determine prime amphicheiral links with at least 2 components and up to 11 crossings. There are 27 such links. We check also special amphicheiralities. Most…”
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Amphicheiral links with special properties, I
Published 02-07-2011“…We provide necessary conditions for the Alexander polynomials of algebraically split component-preservingly amphicheiral links. We raise a conjecture that the…”
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An infinite family of prime knots with a certain property for the clasp number
Published 01-05-2014“…The clasp number $c(K)$ of a knot $K$ is the minimum number of clasp singularities among all clasp disks bounded by $K$. It is known that the genus $g(K)$ and…”
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Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant III
Published 31-08-2017“…For a knot $K$ in a homology $3$-sphere $\Sigma$, let $M$ be the result of $2/q$-surgery on $K$, and let $X$ be the universal abelian covering of $M$. Our…”
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13
On the Iwasawa invariants of a link in the 3-sphere
Published 22-04-2012“…Based on the analogy between knots and primes, J. Hillman, D. Matei and M. Morishita defined the Iwasawa invariants for sequences of cyclic covers of links…”
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14
Lens space surgeries along certain 2-component links related with Park's rational blow down, and Reidemeister-Turaev torsion
Published 20-04-2012“…We study lens space surgeries along two different families of 2-component links, denoted by $A_{m,n}$ and $B_{p,q}$, related with the rational homology 4-ball…”
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15
Prime component-preservingly amphicheiral link with odd minimal crossing number
Published 29-02-2012“…For every odd integer $c\ge 21$, we raise an example of a prime component-preservingly amphicheiral link with the minimal crossing number $c$. The link has two…”
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Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant II
Published 06-01-2015“…For a knot $K$ with $\Delta_K(t)\doteq t^2-3t+1$ in a homology $3$-sphere, let $M$ be the result of $2/q$-surgery on $K$. We show that an appropriate…”
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Seifert surgery on knots via Reidemeister torsion and Casson-Walker-Lescop invariant
Published 22-08-2014“…For a knot $K$ with $\Delta_K(t)\doteq t^2-3t+1$ in a homology $3$-sphere, let $M$ be the result of $2/q$-surgery on $K$. We show that appropriate assumptions…”
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18
Lens surgeries along the $n$-twisted Whitehead link
Published 10-05-2012“…We determine lens surgeries (i.e.\ Dehn surgery yielding a lens space) along the $n$-twisted Whitehead link. To do so, we first give necessary conditions to…”
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