AI 中文总结
本文在箭图范式下提出周 - 维特群理论，建立相关机制与同伦不变性，还计算了域上射影空间的箭图周 - 维特群。
AI 中文摘要
在本文中，我们在奎伦基于箭图的\(K -\)理论方法范式下提出了一种周 - 维特群理论，即箭图范式。除了建立在此范式下工作所需的机制外，我们还建立了箭图周 - 维特群的同伦不变性。我们还计算了域上射影空间的箭图周 - 维特群。
英文摘要
In this article we propose a theory of Chow-Witt groups, in the paradigm of Quillen's arrow based approach to $K$-theory. We refer to this style of arguments as arrowtic paradigm. Other than establishing the machinery needed to work in this paradigm, we establish the homotopy invariance property of the Arrowtic Chow-Witt groups. We also compute the arrowtic Chow-Witt groups of the projective spaces, over fields.
CommentsOnly changes: Inserted Section 5.4, corrected typos, added a few comments in the introduction on the same. This project complete!
