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Every lens space contains a genus one homologically fibered knot
We prove that every lens space contains a genus one homologically fibered knot, which is contrast to the fact that some lens spaces contain no genus one fibered knot. In the proof, the ChebotarevExpand
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Filtered instanton Floer homology and the homology cobordism group
For any $s \in [-\infty,0]$ and oriented homology $3$-sphere $Y$, we introduce a homology cobordism invariant $r_s(Y )$ whose value is in $(0,\infty]$. The values $\{r_s (Y )\}$ are contained in theExpand
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Jørgensen numbers of some Kleinian groups on the boundary of the classical Schottky space 14 : 25 – 14 : 50
Ryosuke Yamazaki (The University of Tokyo) Jørgensen numbers of some Kleinian groups on the boundary of the classical Schottky space It is well-known that Jørgensen’s inequality gives a necessaryExpand
An extension of the LMO functor
Cheptea, Habiro and Massuyeau constructed the LMO functor, which is defined on a certain category of cobordisms between two surfaces with at most one boundary component. In this paper, we extend theExpand
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Technical Improvements and Front-Loading of Cellular Phone Mechanism Evaluation
Fujitsu has ensured the sufficient mechanical strength of cellular phones by carefully considering the expected conditions of their use and by repeatedly improving the design based on the results ofExpand
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An explicit relation between knot groups in lens spaces and those in $S^3$
For a cyclic covering map $(\Sigma,K) \to (\Sigma',K')$ between two pairs of a 3-manifold and a knot each, we describe the fundamental group $\pi_1(\Sigma \setminus K)$ in terms of $\pi_1(\Sigma'Expand
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Finiteness of the image of the Reidemeister torsion of a splice
The set $\mathit{RT}(M)$ of values of the $\mathit{SL}(2,\mathbb{C})$-Reidemeister torsion of a 3-manifold $M$ can be both finite and infinite. We prove that $\mathit{RT}(M)$ is a finite set if $M$Expand
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