Sandra Huppert

Oberseminar Differentialgeometrie: Gustav Nilsson (AEI Potsdam), Vortrag: Topology of Toric Gravitational Instantons

Monday, 05.06.2023 16:15 im Raum SRZ 214

Mathematik und Informatik

For an asymptotically locally Euclidean (ALE) or asymptotically locally flat (ALF) gravitational instanton (M,g) with toric symmetry, we express the signature of (M,g) directly in terms of its rod structure. Applying Hitchin?Thorpe-type inequalities for Ricci-flat ALE/ALF manifolds, we formulate necessary conditions that the rod structures of toric ALE/ALF instantons must satisfy, as a step toward a classification of such spaces. Finally, we apply these results to the study of rod structures with three turning points.

Angelegt am Thursday, 16.03.2023 11:31 von Sandra Huppert
Geändert am Tuesday, 11.04.2023 15:07 von Sandra Huppert
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