Danielle O'Donnol

activity

20052022

collaborators

4 papers

math.GT2022

Primality of theta-curves with proper rational tangle unknotting number one

Kenneth L. Baker, Dorothy Buck, Danielle O'Donnol +2

We show that if a composite $θ$ -curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial $θ$ -cu…

math.GT2016

Planar Legendrian $Θ$ -graphs

Peter Lambert-Cole, Danielle O'Donnol

We classify topologically trivial Legendrian $Θ$ -graphs and identify the complete family of nondestabilizeable Legendrian realizations in this topological class. In contrast to all…

math.GT2016

Planar Legendrian graphs

Peter Lambert-Cole, Danielle O'Donnol

We prove two results on the classification of trivial Legendrian embeddings $g : G \to (S^{3}, ξ_{s t d})$ of planar graphs. First, the oriented Legendrian ribbon $R_{g}$ and rotat…

math.GT2005

Intrinsically n-linked Complete Bipartite Graphs