Combinatorial Thom-Hirzebruch characteristic classes
type: Item
instance of: scholarly article
title: Combinatorial Thom-Hirzebruch characteristic classes
zbMATH Open document ID: 1008.58020
DOI: 10.1023/A:1016342605060
author: Nicolae Teleman
published in: \(K\)-Theory
publication date: 2002-09-18T00:00:00Z
review text: Let \(M\) be the combinatorial manifold endowed with a flat combinatorial Riemannian metric. The family of measures \(\tau _t^d\) on \((d+1)\)-power of the manifold \(M\) is given by an integrable top degree differential form whose value at each point depends on the geometry on the \(t\)-neighborhood of the point. This construction produces a realization of the Thom-Hirzebruch measure \(\tau^d,\) introduced in [\textit{A. Connes, D. Sullivan}, and \textit{N. Teleman}, Topology 33, No. 4, 663-681 (1994; Zbl 0840.57013)]. One shows that when \(t\downarrow 0,\) \(\tau _t^d\) converge toward a simplicial chain representing the Thom-Hirzebruch homology class of corresponding degree.
Mathematics Subject Classification ID: 58J42
Mathematics Subject Classification ID: 57N16
Mathematics Subject Classification ID: 58B34
Mathematics Subject Classification ID: 58J22
zbMATH DE Number: 1802385
zbMATH Keywords: combinatorial manifold
zbMATH Keywords: characteristic classes
reviewed by: V. M. Deundjak
MaRDI profile type: Publication
full work available at URL: a:1016342605060
OpenAlex ID: W2002250631
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description: scientific article; zbMATH DE number 1802385