Geometry/topology Seminar

Braids in planar open books and fillable surgeries.

Speaker(s): Eylem Zeliha Yildiz (Duke U, Mathematics)
We'll give a useful description of braids in $\underset{n}{\#}(S^1\times S^2)$ using surgery diagrams, which will allow us to address families of knots in lens spaces that admit fillable positive contact surgery. We also demonstrate that smooth $16$ surgery to the knot $P(-2,3,7)$ bounds a rational ball, which admits a Stein handlebody. This answers a question left open by Thomas Mark and Bülent Tosun.

Physics 119