2 papers
math.KT2025
On the Hermitian K-theory of Grassmannians
Sunny Sood, Chunkai Xu
We compute the -spectrum (Karoubi--Grothendieck--Witt spectrum) of Grassmannians over divisorial schemes defined over fields of characteristic zero, and, as a corollar…
math.KT2022
On the Homological Stability of Orthogonal and Spin Groups
Marco Schlichting, Sunny Sood
We improve homological stability ranges for the orthogonal group, special orthogonal group, elementary orthogonal group and the spin group over a commutative local ring with in…