Zero-crossing and one-crossing knots in thickened surfaces
Fri, February 5, 2010 2:00PM - 3:00PM
| Time: | 2:00PM - 3:00PM |
| Location: | Simons Auditorium |
| Speakers: | Yi Ni, Yi Ni |
| Abstract: | Let $K$ be a knot in a thickened surface $F\times I$. Suppose a nontrivial surgery on $K$ yields a manifold which is homeomorphic to $F\times I$, then the minimal projection of $K$ on $F$ has either zero or one crossing. I will discuss the proof, as well as some further questions in gauge theory and Floer homology. |
