- Selman Akbulut, MSU
- A simple family of infinitely many absolutely exotic manifolds
- 10/08/2018
- 4:10 PM - 5:30 PM
- C304 Wells Hall
I wıll demonstrate a smooth 4-manifold M, obtained by attaching a 2-handle to B^4 along a certain knot K in S^3, which admits infinitely many absolutely exotic copies M_n, n=0,1,2.., such that each copy M_n is obtained by attaching 2-handle to a fixed compact smooth contractible manifold W along its boundary Y, along the iterates f^{n}(c) of a knot c in Y by a diffeomorphism f: Y---> Y. This generalizes the example I gave in “An exotic 4-manifold, Jour. of Diff. Geom. 33, (1991)” which corresponds to the n=1 case.