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<p>In this paper, we prove the multiplicative property of localized Chern characters. As a direct consequence, a localized Chern character gives rise to a ring homomorphism from the <i>K</i>-group of periodic complexes to the bivariant Chow cohomology group. As an application, we prove the functoriality of Kiem–Li’s cosection-localized intersection homomorphisms.</p>

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Multiplicative property of localized Chern characters for 2-periodic complexes

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月9日

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  • Jeongseok Oh

摘要

In this paper, we prove the multiplicative property of localized Chern characters. As a direct consequence, a localized Chern character gives rise to a ring homomorphism from the K-group of periodic complexes to the bivariant Chow cohomology group. As an application, we prove the functoriality of Kiem–Li’s cosection-localized intersection homomorphisms.