论文标题
$η$ - 周期动机稳定同义理论对Dedekind域
$η$-periodic motivic stable homotopy theory over Dedekind domains
论文作者
论文摘要
我们构建了代表普遍的动机共同体学和结缔组织Balmer的动机光谱的表现良好的扩展 - Witt K理论（以及其他）与2种可逆的Dedekind方案的混合特征。 As a consequence we lift the fundamental fiber sequence of $η$-periodic motivic stable homotopy theory established in [arxiv:2005.06778] from fields to arbitrary base schemes, and use this to determine (among other things) the $η$-periodized algebraic symplectic and SL-cobordism groups of mixed characteristic Dedekind schemes containing 1/2.
We construct well-behaved extensions of the motivic spectra representing generalized motivic cohomology and connective Balmer--Witt K-theory (among others) to mixed characteristic Dedekind schemes on which 2 is invertible. As a consequence we lift the fundamental fiber sequence of $η$-periodic motivic stable homotopy theory established in [arxiv:2005.06778] from fields to arbitrary base schemes, and use this to determine (among other things) the $η$-periodized algebraic symplectic and SL-cobordism groups of mixed characteristic Dedekind schemes containing 1/2.
