# Joshua Greene, (1,1) L-space knots; Brendan Owens, A 2-dimensional approach to embedding 4-manifolds

Date: 5. 5. 2017

Source: Topology seminar

Source: 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.