Multiplicative property of localized Chern characters for 2-periodic complexes

2018/08/23 by Oh, Jeongseok
#14C17 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.07663

Abstract

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.

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• The Chern Character in the Simplicial de Rham Complex
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