Quasi-asymptotically conical Calabi-Yau manifolds

  title={Quasi-asymptotically conical Calabi-Yau manifolds},
  author={Ronan J. Conlon and A. Degeratu and Fr'ed'eric Rochon},
  journal={arXiv: Differential Geometry},
We construct new examples of quasi-asymptotically conical (QAC) Calabi-Yau manifolds that are not quasi-asymptotically locally Euclidean (QALE). We do so by first providing a natural compactification of QAC-spaces by manifolds with fibred corners and by giving a definition of QAC-metrics in terms of an associated Lie algebra of smooth vector fields on this compactification. Thanks to this compactification and the Fredholm theory for elliptic operators on QAC-spaces developed by the second… Expand

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