Homotopy equivalence of Grassmannians and MacPhersonians in rank 3

We confirm a long standing conjecture in the case of rank 3 that MacPhersonians are homotopy equivalent to Grassmannians.

Publication Details

Journal
ArXiv.org
Published
2025-04-01
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Homotopy equivalence of Grassmannians and MacPhersonians in rank 3

ArXiv.org
Homotopy and Cohomology in Algebraic Topology
article

Homotopy equivalence of Grassmannians and MacPhersonians in rank 3

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Abstract

We confirm a long standing conjecture in the case of rank 3 that MacPhersonians are homotopy equivalent to Grassmannians.

ArXiv.org
Openalex Percentile: Top 44%
Homotopy and Cohomology in Algebraic Topology
Open Access PDFOpenAlex
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Homotopy equivalence of Grassmannians and MacPhersonians in rank 3 · ArXiv.org (2025) | TGRS Research Map | TGRS