Heegaard structure respects complicated JSJ decompositions

David Bachman, Ryan Derby-Talbot, Eric Sedgwick

Genus two 3-manifolds are built from handle number one pieces

Eric Sedgwick

Almost normal surfaces with boundary

David Bachman, Ryan Derby-Talbot, Eric Sedgwick

Emerging Challenges in Computational Topology

Marshall Bern, David Eppstein, Pankaj K. Agarwal +19

Computing Heegaard genus is NP-hard

David Bachman, Ryan Derby-Talbot, Eric Sedgwick

Heegaard Splittings of Twisted Torus Knots

Yoav Moriah, Eric Sedgwick

On the tree-width of knot diagrams

Arnaud de Mesmay, Jessica Purcell, Saul Schleimer +1

Thin position for a connected sum of small knots

Yo'av Rieck, Eric Sedgwick

Untangling two systems of noncrossing curves

Jiří Matoušek, Eric Sedgwick, Martin Tancer +1

Sweepouts of amalgamated 3-manifolds

David Bachman, Saul Schleimer, Eric Sedgwick

The unbearable hardness of unknotting

Arnaud de Mesmay, Yo'av Rieck, Eric Sedgwick +1

Embeddability in $\mathbb{R}^3$ is NP-hard

Arnaud de Mesmay, Yo'av Rieck, Eric Sedgwick +1

Locally Helical Surfaces have bounded twisting

David Bachman, Ryan Derby-Talbot, Eric Sedgwick

Collection of abstracts of the Workshop on Triangulations in Geometry and Topology at CG Week 2014 in Kyoto

Jonathan Spreer, Uli Wagner, Benjamin A. Burton +3

Finding planar surfaces in knot- and link-manifolds

William Jaco, J. Hyam Rubinstein, Eric Sedgwick

Surfaces that become isotopic after Dehn filling

David Bachman, Ryan Derby-Talbot, Eric Sedgwick

Embeddability in the 3-sphere is decidable

Jiří Matoušek, Eric Sedgwick, Martin Tancer +1

Link Crossing Number is NP-hard

Arnaud de Mesmay, Marcus Schaefer, Eric Sedgwick

The paper proves that computing the crossing number of a link is NP‑hard and that, for certain weaker notions of link equivalence, the problem is NP‑complete.

The Heegaard structure of Dehn filled manifolds

Yoav Moriah, Eric Sedgwick

Heegaard splittings of the form H + nK

Yoav Moriah, Saul Schleimer, Eric Sedgwick

Computing the flip distance between triangulations

Iyad Kanj, Eric Sedgwick, Ge Xia

Decision problems in the space of Dehn fillings

William Jaco, Eric Sedgwick