On Gelfand and MacPherson's combinatorial formula for Pontrjagin classes
Olakunle Abawonse, Laura Anderson
TL;DR
This paper revisits Gelfand and MacPherson's 1992 combinatorial formula for Pontrjagin classes, expanding their discussion and exploring the roots of combinatorial differential manifolds.
Contribution
It provides an expanded explanation of Gelfand and MacPherson's formula and clarifies the origins of combinatorial differential manifolds.
Findings
Enhanced understanding of Gelfand and MacPherson's formula
Clarification of the origins of combinatorial differential manifolds
Detailed exposition of the combinatorial approach to Pontrjagin classes
Abstract
In 1992 Gelfand and MacPherson gave a local and combinatorial formula for the Pontrjagin classes of a differential manifold. We give an expanded version of their discussion and highlight the origins of combinatorial differential manifolds in their work.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Topological and Geometric Data Analysis · Advanced Combinatorial Mathematics