4 papers
Double-point enhanced GRID invariants and Lagrangian cobordisms
Ashton Lewis, Zachary Ojakli, Ina Petkova +1
We define an invariant of Legendrian links in the double-point enhanced grid homology of a link, and prove that it obstructs decomposable Lagrangian cobordisms in the symplectizati…
Totally Geodesic Spanning Surfaces of Knots and Links in 3-Manifolds
Benjamin Shapiro
I construct infinite families of knots and links with totally geodesic spanning surfaces, which we call TGS knots and TGS links, in various 3-manifolds. These 3-manifolds include t…
Hyperbolic Knotoids
Colin Adams, Alexandra Bonat, Maya Chande +6
In 2010, Turaev introduced knotoids as a variation on knots that replaces the embedding of a circle with the embedding of a closed interval with two endpoints. A variety of knot in…
Generalizations of Knotoids and Spatial Graphs
Colin Adams, Alexandra Bonat, Maya Chande +6
In 2010, Turaev introduced knotoids as a variation on knots that replaces the embedding of a circle with the embedding of a closed interval with two endpoints which here we call po…