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math.AG2025
On a theorem of Harder
Ivan Panin, Anastasia Stavrova
We prove that for any simply connected isotropic reductive group G over a Dedekind domain D, any Zariski-locally trivial principal G-bundle over D is trivial. The corresponding res…
math.AG2010
On the relation of symplectic algebraic cobordism to hermitian K-theory
Ivan Panin, Charles Walter
We reconstruct hermitian K-theory via algebraic symplectic cobordism. In the motivic stable homotopy category SH(S) there is a unique morphism g : MSp -> BO of commutative ring T-…