Thorsten Hertl

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20222026

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math.GT2025

Path components of $G_{2}$ -moduli spaces may be non-aspherical

Diarmuid Crowley, Sebastian Goette, Thorsten Hertl

Starting from Joyce's generalised Kummer construction, we exhibit non-trivial families of $G_{2}$ -manifolds over the two dimensional sphere by resolving singularities with a…

math.GT2023

Concordances in Positive Scalar Curvature and Index Theory

Thorsten Hertl

We apply the strategy to study of diffeomorphisms via block diffeomorphisms to the world of positive scalar curvature (psc) metrics. For each closed psc manifold $M$ , we construct…

Path components of G2​-moduli spaces may be non-aspherical

Concordances in Positive Scalar Curvature and Index Theory

Path components of $G_{2}$ -moduli spaces may be non-aspherical