25 citations · 48 across the 7 of their papers we have counts for
7 papers · 1 filter
Equivariant Grothendieck-Riemann-Roch and localization in operational K-theory
Dave Anderson, Richard Gonzales, Sam Payne
We produce a Grothendieck transformation from bivariant operational -theory to Chow, with a Riemann-Roch formula that generalizes classical Grothendieck-Verdier-Riemann-Roch. We…
Geometry of horospherical varieties of Picard rank one
Richard Gonzales, Clélia Pech, Nicolas Perrin +1
We study the geometry of non-homogeneous horospherical varieties. These have been classified by Pasquier and include the well-known odd symplectic Grassmannians. We focus our study…
Algebraic rational cells and equivariant intersection theory
Richard Gonzales
We provide a notion of algebraic rational cell with applications to intersection theory on singular varieties with torus action. Based on this notion, we study the algebraic analog…
Localization in equivariant operational K-theory and the Chang-Skjelbred property
Richard Gonzales
We establish a localization theorem of Borel-Atiyah-Segal type for the equivariant operational K-theory of Anderson and Payne. Inspired by the work of Chang-Skjelbred and Goresky-K…
Equivariant operational Chow rings of T-linear schemes
Richard Gonzales
We study -linear schemes, a class of objects that includes spherical and Schubert varieties. We provide a localization theorem for the equivariant Chow cohomology of these schem…
Equivariant Cohomology of Rationally Smooth Group Embeddings
Richard Gonzales
We describe the equivariant cohomology ring of rationally smooth projective embeddings of reductive groups. These embeddings are the projectivizations of reductive monoids. Our mai…
Rational smoothness, cellular decompositions and GKM theory
Richard Gonzales
We introduce the notion of Q-filtrable varieties: projective varieties with a torus action and a finite number of fixed points, such that the cells of the associated Bialynicki-Bir…