投影线上的向量束与链式配合物的有限支配

Mathematical Proceedings of the Royal Irish Academy Pub Date : 2014-03-10 DOI:10.3318/pria.2015.115.2

T. Huettemann

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引用次数: 2

摘要

在一个不定式的洛朗多项式环上，有限支配链配合物具有诺维科夫同调消失的特征。我们提出了一种基于链配合物在射影线上向轴的扩展的代数-几何方法。我们还讨论了k理论对可拓的阻碍。

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Vector Bundles on the Projective Line and Finite Domination of Chain Complexes

Finitely dominated chain complexes over a Laurent polynomial ring in one indeterminate are characterised by vanishing of their Novikov homology. We present an algebro-geometric approach to this result, based on extension of chain complexes to sheaves on the projective line. We also discuss the K-theoretical obstruction to extension.

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Mathematical Proceedings of the Royal Irish Academy

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