47 citations · 143 across the 29 of their papers we have counts for
38 papers
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…
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.
Characteristic forms of complex Cartan geometries II
Benjamin McKay
Characteristic class relations in Dolbeault cohomology follow from the existence of a holomorphic Cartan geometry (for example, a holomorphic conformal structure or a holomorphic p…
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…
Logarithmic Cartan geometry on complex manifolds
Indranil Biswas, Sorin Dumitrescu, Benjamin McKay
We pursue the study of holomorphic Cartan geometry with singularities. We introduce the notion of logarithmic Cartan geometry on a complex manifold, with polar part supported on a…
Cartan geometries on complex manifolds of algebraic dimension zero
Indranil Biswas, Sorin Dumitrescu, Benjamin McKay
We show that compact complex manifolds of algebraic dimension zero bearing a holomorphic Cartan geometry of algebraic type have infinite fundamental group. This generalizes the mai…