M. Tange

activity

20072025

most citedA construction of slice knots via annulus twists

7 citations · 43 across the 24 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.GT2014★ 3 cited

On the Alexander polynomial of lens space knot

Motoo Tange

Ozsváth-Szabó proved the property that any coefficient of Alexander polynomial of lens space knot is either $\pm 1$ or $0$ and the non-zero coefficients are alternating. Combining t…

math.GT2014★ 1 cited

The $E_{8}$ -boundings of homology spheres and negative sphere classes in $E (1)$

Motoo Tange

We define invariants $ds$ and $ds$ , which are the maximal and minimal second Betti number divided by $8$ among definite spin boundings of a homology sphere…

math.GT2014★ 2 cited

Non-orientable genus of a knot in punctured $C P^{2}$

Kouki Sato, Motoo Tange

For any knot $K$ which bounds non-orientable and null-homologous surfaces $F$ in punctured $n C P^{2}$ , we construct a lower bound of the first Betti number of $F$ which consi…

On the Alexander polynomial of lens space knot

The E8​-boundings of homology spheres and negative sphere classes in E(1)

Non-orientable genus of a knot in punctured CP2

The $E_{8}$ -boundings of homology spheres and negative sphere classes in $E (1)$

Non-orientable genus of a knot in punctured $C P^{2}$