Geometry and Topology Seminar

Series: Geometry and Topology Seminar Series

Knot concordance in 3-manifolds with an application

Eylem Zeliha Yildiz, Department of Mathematics, Michigan State University ,

I will discuss PL and smooth knot concordances in 3-manifolds. In particular I will show that all the knots in the free homotopy class of $S^1\times pt$ in $S^1 \times S^2$ are smoothly concordant to each other. I will also discuss an application of this concordances to constructing exotic 4-manifolds.

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For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].