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math.DG2026
New examples of affine Calabi-Yau 3-folds with maximal volume growth
Shih-Kai Chiu, Ronan J. Conlon, Frédéric Rochon
We construct examples of complete Calabi-Yau metrics on smoothings of 3-dimensional Calabi-Yau cones that are not products of lower-dimensional Calabi-Yau cones and that have orbif…
math.DG2026
Warped quasi-asymptotically conical Calabi-Yau metrics
Ronan J. Conlon, Frédéric Rochon
We construct many new examples of complete Calabi-Yau metrics of maximal volume growth on certain smoothings of Cartesian products of Calabi-Yau cones with smooth cross-sections. A…
math.DG2024
Quasi-fibered boundary pseudodifferential operators
Chris Kottke, Frédéric Rochon
We develop a pseudodifferential calculus for differential operators associated to quasi-fibered boundary metrics (QFB metrics), a class of metrics including the quasi-asymptoticall…