Alexander Zupan

activity

20102026

most citedBridge trisections of knotted surfaces in

S^{4}

55 citations · 242 across the 28 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.GT2014★ 40 cited

Genus two trisections are standard

Jeffrey Meier, Alexander Zupan

We show that the only closed 4-manifolds admitting genus two trisections are $S^{2} \times S^{2}$ and connected sums of $S^{1} \times S^{3}$ , $CP^{2}$ , and $\overline{\mathbb{CP}}^2…

math.GT2014★ 2 cited

Bridge spectra of twisted torus knots

R. Sean Bowman, Scott Taylor, Alex Zupan

We compute the genus zero bridge numbers and give lower bounds on the genus one bridge numbers for a large class of sufficiently generic hyperbolic twisted torus knots. As a result…

math.GT2014★ 3 cited

Knots with compressible thin levels

Ryan Blair, Alexander Zupan

We produce embeddings of knots in thin position that admit compressible thin levels. We also find the bridge number of tangle sums where each tangle is high distance.