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math.DG2021
-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…
math.DG2021
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…