4 papers · 1 filter
Gordian distance and clasper surgery for links
Anthony Bosman, Christopher W. Davis, Taylor Martin +1
In 2000, Habiro introduced the notion of -equivalence of knots and links. This geometric filtration is closely connected to finite type invariants, a class of invariants inclu…
Diagonal knots and the tau invariant
Jackson Arndt, Malia Jansen, Payton McBurney +1
In 2003, Ozsváth, Szabó, and Rasmussen introduced the invariant for knots, and in 2011, Sarkar published a computational shortcut for the invariant of knots that can be rep…
How many crossing changes or Delta-moves does it take to get to a homotopy trivial link?
Anthony Bosman, Christopher William Davis, Taylor Martin +2
The homotopy trivializing number, \(n_h(L)\), and the Delta homotopy trivializing number, \(n_Δ(L)\), are invariants of the link homotopy class of \(L\) which count how many crossi…
Tau invariants for balanced spatial graphs
Katherine Vance
In 2003, Ozsváth and Szabó defined the concordance invariant for knots in oriented 3-manifolds as part of the Heegaard Floer homology package. In 2011, Sarkar gave a combinator…