动机同伦论中的半拓扑化及其应用
代数几何
2015-05-27 v3 代数拓扑
K理论与同调
摘要
我们从动机同伦论的角度研究 Friedlander-Walker 的半拓扑化函子。我们在稳定动机同伦范畴 上构造了一个三角自函子，称之为\emph{同伦半拓扑化}。作为应用，我们讨论了 中几种半拓扑上同调理论的可表性、代数配边的半拓扑类似物的构造，以及为该理论构造 Atiyah-Hirzebruch 型谱序列。
引用
@article{arxiv.1302.2218,
title = {Semi-topologization in motivic homotopy theory and applications},
author = {Amalendu Krishna and Jinhyun Park},
journal= {arXiv preprint arXiv:1302.2218},
year = {2015}
}
备注
v1: 41 pages; v2: 39 pages. The 'idempotence' part of v1 deleted, with some minor revision; v3: 24 pages. Largely rewritten and compactified. A variation of this version is accepted to appear in Algebraic & Geometric Topology