Friday, June 01, 2018
3:00 PM -
5:00 PM
Building 15, Room 104
Geometry and Topology Seminar
Piecewise-linear disks and spheres in 4-manifolds
I will discuss a variety of problems related to the existence of piecewise-linear (PL) embedded surfaces in smooth 4-manifolds (joint work with Jen Hom and Tye Lidman). We give the first known example of a smooth, compact 4-manifold which is homotopy equivalent to the 2-sphere but for which the homotopy equivalence cannot be realized by a PL embedding. We also show that the PL concordance group of knots in homology 3-spheres is infinitely generated and contains elements of infinite order.
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For more information, please contact Mathematics Department by phone at 626-395-4335 or by email at [email protected].