Let X and Y be a pair of smooth manifolds, each obtainable
from the other by surgery in codimension at least three. We show that the
corresponding spaces Riem⁺(X) and Riem⁺(Y), respectively consisting of
Riemannian metrics of positive scalar curvature on X and Y, are homotopy
equivalent. This result is...
The surgery technique of Gromov and Lawson may be used to construct families of positive scalar curvature metrics which are parameterised by Morse functions. This has played an important role in the study of the space of metrics of positive scalar curvature on a smooth manifold and its corresponding moduli...
Anthropogenic impacts are increasingly affecting the world’s oceans. Networks of marine protected areas (MPAs) provide an
option for increasing the ecological and economic benefits often provided by single MPAs. It is vital to empirically assess the
effects of MPA networks and to prioritize the monitoring data necessary to explain those...