Recasting results in equivariant geometry: affine cosets, observable subgroups and existence of good quotients

TL;DR

This paper uses stack language to reinterpret and extend various results in equivariant geometry, providing a more general framework for understanding affine cosets, observable subgroups, and quotients.

Contribution

It introduces a stack-based approach to generalize key concepts and results in equivariant geometry, enhancing theoretical understanding.

Findings

Recast of equivariant geometry results using stacks

Generalization of affine cosets and observable subgroups

New criteria for the existence of good quotients

Abstract

Using the language of stacks, we recast and generalize a selection of results in equivariant geometry.