Featured Speaker: Chris Davis (UWEC)

Title: An obstruction to concordance to boundary links.

Abstract:
In a pair of celebrated papers from 1990 Cochran-Orr and Livingston produced link with vanishing Milnor invariants which are not concordant to boundary links. The examples they produce sit in a larger family called homology boundary links. It is still unknown if every link with vanishing Milnor invariants is concordant to a homology boundary link. During this talk I will produce an invariant which might be able to detect such a difference. Along the way we will study the interaction of boundary links, homology boundary links, and Milnor's invariants with the solvable filtration of knot concordance introduced by Cochran-Orr-Teichner in 2003, and prove that any homology boundary link is related by concordance and a strong notion of S-equivalence. This work is joint with Shelly Harvey and JungHwan park.

Zoom Info Available Upon Request.
Email: conwaya@mit.edu

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