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arXiv 1005.4187math.AGmath.KT
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可定向同伦模

Orientable homotopy modules

Frédéric Déglise

摘要:

我们证明了Morel的一个猜想:在稳定的同伦范畴中,对于同伦t-结构,它的转移集中在零度,并且具有Hopf映射的平凡作用,证明了Voevodsky的同伦不变量层的谱.这是通过将这两种对象与Rost的循环模块相关联来完成的。应用代数配边和建设的循环类。

英文摘要:

We prove a conjecture of Morel identifying Voevodsky's homotopy invariant sheaves with transfers with spectra in the stable homotopy category which are concentrated in degree zero for the homotopy t-structure and have a trivial action of the Hopf map. This is done by relating these two kind of objects to Rost's cycle modules. Applications to algebraic cobordism and construction of cycle classes are given.

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