On Milnor Classes of Constructible Functions

ABSTRACT The goal of this work is to generalize the intersection product formulas for the Fulton–Johnson, Schwartz–MacPherson, and Milnor classes, originally obtained in the work of Callejas‐Bedregal, Morgado, and Seade, to a broader framework of characteristic classes. More precisely, we extend these formulas to the classes introduced by Schürmann, which are characteristic classes relative to constructible functions.

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Publication Details

Journal
Mathematische Nachrichten
Published
2026-07-16
DOI
https://doi.org/10.1002/mana.70210
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

On Milnor Classes of Constructible Functions

Mauri Pereira da Silva
Mathematische Nachrichten
Homotopy and Cohomology in Algebraic Topology
article

On Milnor Classes of Constructible Functions

Mauri Pereira da Silva
article en

Abstract

ABSTRACT The goal of this work is to generalize the intersection product formulas for the Fulton–Johnson, Schwartz–MacPherson, and Milnor classes, originally obtained in the work of Callejas‐Bedregal, Morgado, and Seade, to a broader framework of characteristic classes. More precisely, we extend these formulas to the classes introduced by Schürmann, which are characteristic classes relative to constructible functions.

Mathematische Nachrichten
Universidade Federal Rural de Pernambuco (BR)
Openalex Percentile: Top 4%
Homotopy and Cohomology in Algebraic Topology
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