Local coefficients and the Herbert Formula
Petr M. Akhmet'ev, Theodore Yu. Popelenskii
TL;DR
This paper generalizes the Herbert formula for double points in immersions by considering cases where the normal bundle has extra structure, and explores applications of this generalization.
Contribution
It introduces a new generalization of the Herbert formula accounting for additional structure in the normal bundle of immersions.
Findings
Extended Herbert formula for structured normal bundles
Application to specific immersion problems
New insights into double point theory
Abstract
We discuss a generalisation of the Herbert formula for double points, when the normal bundle of an immersion admits an additional structure, and an application.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Mathematics and Applications