3 papers
math.AG2020
On the -Euler characteristic of the variety of maximal tori in a reductive group
Alexey Ananyevskiy
We show that for a reductive group over a field the -Euler characteristic of the variety of maximal tori in is an invertible element of the Grothendieck-W…
math.AG2019
SL-oriented cohomology theories
Alexey Ananyevskiy
We show that a representable motivic cohomology theory admits a unique normalized SL^c-orientation if the zeroth cohomology presheaf is a Zariski sheaf. We also construct Thom isom…
math.KT2017
On very effective hermitian -theory
Alexey Ananyevskiy, Oliver Röndigs, Paul Arne Østvær
We argue that the very effective cover of hermitian -theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topol…