Luis G. Valdez-S'anchez

activity

20052026

S^{3}

with (1,1) decompositions

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.GT2026

Incompressible planar surfaces in hyperbolic link exteriors in the 3-sphere

Luis G. Valdez-Sánchez

For each integer $N \geq 3$ we construct examples of $N$ -component hyperbolic links $L \subset S^{3}$ whose exterior contains an incompressible spanning planar surface $P\subse…

math.GT2023★ 1 cited

The Kakimizu complex for genus one hyperbolic knots in the 3-sphere

Luis G. Valdez-Sánchez

The Kakimizu complex $M S (K)$ for a knot $K \subset S^{3}$ is the simplicial complex with vertices the isotopy classes of minimal genus Seifert surfaces in the exterior of $K$ …

math.GT2005★ 2 cited

Crosscap number two knots in $S^{3}$ with (1,1) decompositions

Enrique Ramírez-Losada, Luis G. Valdez-Sánchez

M. Scharlemann has recently proved that any genus one tunnel number one knot is either a satellite or 2-bridge knot, as conjectured by H. Goda and M. Teragaito; all such knots admi…

Incompressible planar surfaces in hyperbolic link exteriors in the 3-sphere

The Kakimizu complex for genus one hyperbolic knots in the 3-sphere

Crosscap number two knots in S3 with (1,1) decompositions

Crosscap number two knots in $S^{3}$ with (1,1) decompositions