25 citations · 114 across the 27 of their papers we have counts for
33 papers
A gluing construction of -extremal Kähler metrics and new examples of Bismut Hermitian-Einstein -folds
Vestislav Apostolov, Abdellah Lahdili, Kuan-Hui Lee +1
We present a gluing construction for a class of 6th order geometric non-linear PDE's on a Kähler manifold or orbifold, arising in the study of Bismut Hermitian Einstein complex …
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…
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…
Products of manifolds with fibered corners
Chris Kottke, Frédéric Rochon
Manifolds with fibered corners arise as resolutions of stratified spaces, in many body compactifications of vector spaces, moduli spaces, and other settings. We define a category o…
-cohomology of quasi-fibered boundary metrics
Chris Kottke, Frédéric Rochon
We develop new techniques to compute the weighted -cohomology of quasi-fibered boundary metrics (QFB-metrics). Combined with the decay of -harmonic forms obtained in a co…
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…