ON 3-MANIFOLDS THAT ARE BOUNDARIES OF EXOTIC 4-MANIFOLDS

John B. Etnyre, Hyunki Min, Anubhav Mukherjee

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Pages (from-to)4307-4332
Number of pages26
JournalTransactions of the American Mathematical Society
Volume375
Issue number6
DOIs
StatePublished - Jun 1 2022
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics

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