Joshua Greene, (1,1) L-space knots; Brendan Owens, A 2-dimensional approach to embedding 4-manifolds
Date of publication: 5. 5. 2017
Topology seminar
Ponedeljek, 8. maj 2017 ob 12.15 uri v predavalnici 3.06 na Jadranski 21
Joshua Greene, Boston College
(1,1) L-space knots
Abstract: I will describe a diagrammatic classification of (1,1) knots in S^3 and lens spaces that admit non-trivial L-space surgeries. A corollary of the classification is that 1-bridge braids in these manifolds admit non-trivial L-space surgeries. This is joint work with Sam Lewallen and Faramarz Vafaee.
Brendan Owens, Glasgow University
A 2-dimensional approach to embedding 4-manifolds
Abstract: I will describe a way to exhibit an embedding of one 4-manifold with boundary inside another using branched covers of surfaces in the 4-ball. These surfaces can be described and manipulated using diagrams of knots with bands (thanks to Swenton and Kearton-Kurlin). I will use these to exhibit various embeddings of rational homology balls bounded by links of Wahl singularities, recovering some known results and also some new embeddings.
