Thorsten Hertl

activity

20222026

collaborators

6 papers

math.AT2026

Homotopical Robustness of Isometries on the Cayley Plane

Thorsten Hertl, Isla Lim

We compute the effect of the inclusion $F_{4} \to hAut (O P^{2})$ on rational homotopy groups by determining the rational homotopy class of the isometr…

math.AT2026

Fibrewise Orbifold Resolutions with Applications to $G_{2}$ -Moduli Spaces

Thorsten Hertl

By resolving the singularities of tailor-made orbifolds via twisted families of blow-ups, we construct manifold bundles $M \to E \to S^{2}$ . Using tools from real hom…

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.DG2023

Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond

Thorsten Hertl

We construct non-trivial elements in the homotopy groups of the observer moduli space of positive sectional curvature metrics on $C P^{n}$ and non-trivial elements in the hom…

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…

math.AT2022

Line Bundle Twists for Unitary Bordism are Ghosts

Thorsten Hertl

We prove that the canonical twist $ζ : K (Z, 3) \to B G L_{1} (M S p i n^{c})$ does not extend to a twist for unitary bordism by showing that every continuous map $f \colon…

Homotopical Robustness of Isometries on the Cayley Plane

Fibrewise Orbifold Resolutions with Applications to G2​-Moduli Spaces

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

Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond

Concordances in Positive Scalar Curvature and Index Theory

Line Bundle Twists for Unitary Bordism are Ghosts

Fibrewise Orbifold Resolutions with Applications to $G_{2}$ -Moduli Spaces

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