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This is a Quantitative Study study.

October 20, 2025Open Access

Moduli Stacks of G-Curves in Homotopy Theory at $h=p-1$

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The research reveals a universal construction of a geometric model for the action of finite subgroup G.
Key findings show that the Lubin-Tate action at height p-1 is a subgroup of the symmetric group action.
By using configuration spaces, the study understands the model and its relation to ramification data.
The approach employs inverse Galois theory to generalize the concept of level structure.

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This study explores G-curves' deformation space in homotopy theory, highlighting the role of p-torsion and configuration spaces.

Rajarshi Ray (2025) studied this question.

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