Boundary conditions for scalar curvature
Boundary conditions for scalar curvature
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Bernhard Hanke, Universit盲t Augsburg
Online Talk听
Zoom link:听
Passcode: 998749
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We show a general deformation principle for boundary conditions of metrics with lower scalar curvature bounds.听This implies that听听the relaxation of boundary conditions often induces weak homotopy equivalences of spaces of such metrics.听Combining this with the existence of fibre bundles over spheres whose total spaces have non-zero $\hat{A}$-genera听听we construct compact manifolds for which the spaces of positive scalar curvature metrics with mean convex boundaries听have nontrivial higher homotopy groups.听
This is joint work with Christian B盲r.听