11 citations · 11 across the 5 of their papers we have counts for
9 papers
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…
Moves relating C-complexes: A correction to Cimasoni's "A geometric construction of the Conway potential function"
Christopher William Davis, Taylor Martin, Carolyn Otto
In groundbreaking work from 2004, Cimasoni gave a geometric computation of the multivariable Conway potential function in terms of a generalization of a Seifert surface for a link…
Splittings of link concordance groups
Taylor E. Martin, Carolyn Otto
We establish several results about two short exact sequences involving lower terms of the -solvable filtration, of the string link concordance group $\math…
Every genus one algebraically slice knot is 1-solvable
Christopher W. Davis, Taylor E. Martin, Carolyn Otto +1
Cochran, Orr, and Teichner developed a filtration of the knot concordance group indexed by half integers called the solvable filtration. Its terms are denoted by . I…
The (n)-solvable filtration of the link concordance group and Milnor's invariants
Carolyn Otto
We establish several new results about both the (n)-solvable filtration, F_n^m, of the set of link concordance classes and the (n)-solvable filtration of the string link concordanc…
The moduli space of -dimensional complex associative algebras
Chris Decleene, Carolyn Otto, Michael Penkava +3
In this paper, we study the moduli space of -dimensional complex associative algebras, which is also the moduli space of codifferentials on the tensor coalgebra of a -dim…