3 citations · 4 across the 4 of their papers we have counts for
4 papers
Weighted extremal metrics on blowups
Michael Hallam
We show that if a compact Kähler manifold admits a weighted extremal metric for the action of a torus, so too does its blowup at a relatively stable point that is fixed by both the…
The universal structure of moment maps in complex geometry
Ruadhaí Dervan, Michael Hallam
We introduce a geometric approach to the construction of moment maps in finite and infinite-dimensional complex geometry. We apply this to two settings: Kähler manifolds and holomo…
Geodesics in the space of relatively Kähler metrics
Michael Hallam
We derive the geodesic equation for relatively Kähler metrics on fibrations and prove that any two such metrics with fibrewise constant scalar curvature are joined by a unique smoo…
Positive scalar curvature via end-periodic manifolds
Michael Hallam, Varghese Mathai
We obtain two types of results on positive scalar curvature metrics for compact spin manifolds that are even dimensional. The first type of result are obstructions to the existence…