23 citations · 100 across the 31 of their papers we have counts for
7 papers · 2 filters
Quadruple crossing number of knots and links
Colin Adams
A quadruple crossing is a crossing in a projection of a knot or link that has four strands of the knot passing straight through it. A quadruple crossing projection is a projection…
Knot projections with a single multi-crossing
Colin Adams, Thomas Crawford, Benjamin DeMeo +6
Introduced recently, an n-crossing is a singular point in a projection of a link at which n strands cross such that each strand travels straight through the crossing. We introduce…
Triple Crossing Number of Knots and Links
Colin Adams
A triple crossing is a crossing in a projection of a knot or link that has three strands of the knot passing straight through it. A triple crossing projection is a projection such…
A classification of spanning surfaces for alternating links
Colin Adams, Thomas Kindred
A classification of spanning surfaces for alternating links is provided up to genus, orientability, and a new invariant that we call aggregate slope. That is, given an alternating…
Stick index of knots and links in the cubic lattice
Colin Adams, Michelle Chu, Thomas Crawford +2
The cubic lattice stick index of a knot type is the least number of sticks necessary to construct the knot type in the 3-dimensional cubic lattice. We present the cubic lattice sti…
Duality properties of indicatrices of knots
Colin Adams, Dan Collins, Katherine Hawkins +3
The bridge index and superbridge index of a knot are important invariants in knot theory. We define the bridge map of a knot conformation, which is closely related to these two inv…
Unknotting tunnels in hyperbolic 3-manifolds
Colin Adams, Karin Knudson
An unknotting tunnel in a 3-manifold with boundary is a properly embedded arc, the complement of an open neighborhood of which is a handlebody. A geodesic with endpoints on the cus…