5 papers
Local multiplicities for an equivariantly enriched non-transverse Bézout's theorem
Candace Bethea, Charanya Ravi
We introduce the degree and local degree in equivariant motivic homotopy theory for the purpose of studying equivariant enumerative problems over general fields. Given a finite, ta…
Equivariant generalized cohomology via stacks
Adeel A. Khan, Charanya Ravi
We prove a general form of the statement that the cohomology of a quotient stack can be computed by the Borel construction. It also applies to the lisse extensions of generalized c…
The stacky concentration theorem
Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev +2
We give a sufficient criterion for the Chow or algebraic bordism groups of an algebraic stack, localized at a set of Chern classes of line bundles, to be concentrated in some close…
Virtual localization revisited
Dhyan Aranha, Adeel A. Khan, Alexei Latyntsev +2
Let be a split torus acting on an algebraic scheme with fixed locus . Edidin and Graham showed that on localized -equivariant Chow groups, (a) push-forward alon…
Generalized cohomology theories for algebraic stacks
Adeel A. Khan, Charanya Ravi
We extend the stable motivic homotopy category of Voevodsky to the class of scalloped algebraic stacks, and show that it admits the formalism of Grothendieck's six operations. Obje…