3 papers
math.DG2026
Inequivalence of the various notions of completeness for Cartan geometries
Jacob W. Erickson, Benjamin McKay
We demonstrate that the three prevailing notions of completeness for Cartan geometries are not actually equivalent and provide methods for constructing many examples in the affine…
math.AG2026
Cominuscule subvarieties of flag varieties
Benjamin McKay
We show that every flag variety contains a naturally defined homogeneous cominuscule subvariety. From the Dynkin diagram of the flag variety, we compute the Dynkin diagram of that…
math.DG2025
An introduction to Cartan geometries
Benjamin McKay
We explain what Cartan geometries are, aiming at an audience of graduate students familiar with manifolds, Lie groups and differential forms.