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math.DG2024
A stabilization result for Z/2-harmonic 1-forms by constructing solutions on closed 3-manifolds with long cylindrical necks
Willem Adriaan Salm
In this paper, we give an explicit construction of families of -harmonic 1-forms that degenerate to manifolds with cylindrical ends. We do this by considering certain…
math.DG2024★ 1 cited
Elliptic analysis on collapsing gravitational instantons modelled using the Gibbons-Hawking ansatz
Willem Adriaan Salm
In this paper, we will establish elliptic regularity estimates on families of gravitational instantons whose model metric near infinity collapse to a flat 3 dimensional space. We s…
math.DG2024
Construction of gravitational instantons with non-maximal volume growth via codimension-1 collapse
Willem Adriaan Salm
In this paper, we construct families of gravitational instantons of type ALG, ALG*, ALH and ALH* using a gluing construction. Away from a finite set of exceptional points, the metr…