论文标题
MW-HOMOTOPY滑轮和Morel广义转移
MW-homotopy sheaves and Morel generalized transfers
论文作者
论文摘要
我们探讨了莫雷尔的猜想，内容涉及在同型捆包的收缩中定义的低音转移，并证明了猜想与有理系数是正确的。此外，我们研究（收缩）同型滑轮之间的关系，带有莫雷尔广义转移和MW-HOMOTOPY SHEAVES的滑轮，并证明了类别的等效性。作为应用程序，我们描述了规范函数的基本图像，该图像忘记了MW-Transfers并使用这些结果来讨论由于Bachmann和Yakerson而引起的^1-HOMOTOPY的保守性猜想。
We explore a conjecture of Morel about the Bass-Tate transfers defined on the contraction of a homotopy sheaf and prove that the conjecture is true with rational coefficients. Moreover, we study the relations between (contracted) homotopy sheaves, sheaves with Morel generalized transfers and MW-homotopy sheaves, and prove an equivalence of categories. As applications, we describe the essential image of the canonical functor that forgets MW-transfers and use theses results to discuss the conservativity conjecture in A^1-homotopy due to Bachmann and Yakerson.
