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Award ID contains: 1608684

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  1. (, The American Mathematical Monthly)
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  2. ; (, Journal of Topology)
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  3. ; ; (, Transactions of the American Mathematical Society)
    We give several criteria on a closed, oriented 3-manifold that will imply that it is the boundary of a (simply connected) 4-manifold that admits infinitely many distinct smooth structures. We also show that any weakly fillable contact 3-manifold, or contact 3-manifold with non-vanishing Heegaard Floer invariant, is the boundary of a simply connected 4-manifold that admits infinitely many distinct smooth structures each of which supports a symplectic structure with concave boundary, that is there are infinitely many exotic caps for any such contact manifold. 
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  4. ; (, Bulletin of the London Mathematical Society)
  5. ; (, Surveys in Differential Geometry)
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