Ian Hambleton

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This talk is based on joint work with Ronnie Lee and Mihail Tanase. We are interested in a kind of " rigidity " for finite group actions on certain smooth 4-manifolds, namely those constructed by connected sums of geometric pieces such as algebraic surfaces. We can ask how closely a smooth, orientation-preserving, finite group action on such a connected sum(More)
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In [11], two of us constructed a closed oriented 4-dimensional manifold with fundamental group Z that does not split off S 1 × S 3. In this note we show that this 4-manifold, and various others derived from it, do not admit smooth structures. Moreover, we find an infinite family of 4-manifolds with exactly the same properties. As a corollary, we obtain(More)