UW-Milwaukee Department of Mathematical Sciences presents,
Dr. Carolyn Otto;
Assistant Professor of Mathematics
Friday, April 29, 2016
2:00pm in EMS E495
*Refreshments will be served at 1:30pm in EMS E424A*
Applications of the Solvable Filtration of Knot and Link Concordance
Joint with Christopher Davis, Taylor Martin, and Jung Hwan Park. In the 1990’s Cochran Orr and Teichner introduced a filtration of knot and link concordance known as the solvable filtration. This filtration has been a convenient setting for many advances in knot and link concordance. There are now many results in the literature demonstrating the difference successive terms of the filtration, namely between the n’th and (n.5)’th terms. However, not much is known about the “other” half of filtration. In this talk I will discuss work towards understanding the structure of lower order quotients of this filtration as well as prove that every genus one (0.5)-solvable knot is 1-solvable. I will also give a new sufficient condition for a high genus (0.5)-solvable knot to be 1-solvable and close with some possible candidates for knots which are (0.5)-solvable but not 1-solvable.