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4:00 pm Monday, October 31, 2011 Topology Seminar: Classification of Algebraically split links up to 0-solve equivalenceby Taylor Martin (Rice University) in HB 427- The n-solvable filtration, defined by Cochran, Orr, and Teichner in the late 90's, gives structure to the smooth knot and link concordance groups. Much is known about the n-solvable filtration of the knot concordance group for small n. For example, a knot is 0-solvable if and only if it has Arf invariant zero. Moreover, a knot is 0.5-solvable precisely when it's Seifert matrix looks like that of a slice knot, called algebraically slice. However, very little is known for links. In this talk, we will introduce 0-solve equivalence and use it to classify algebraically split links, which are links with pairwise linking number zero. In the process, we will completely classify 0-solvabe links.
Submitted by shelly@rice.edu |