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Manifolds from Partitions

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arxiv 2401.07435 v2 pith:7U2X2XLZ submitted 2024-01-15 math.GT cs.DMmath.CO

Oliver Knill This is my paper · ORCID
classification math.GTcs.DMmath.CO
keywords complexcontainsd-manifolddefinesdiscretefacetleastmanifold
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If f maps a discrete d-manifold G onto a (k+1)-partite complex P then H(G,f,P),the set of simplices x in G such that f(x) contains at least one facet in P defines a (d-k)-manifold.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dehn Sommerville Manifolds

    math.CO 2025-08 reject novelty 6.0 of 10

    Dehn-Sommerville manifolds form a broad class of finite simplicial complexes that the paper claims to endow with Dehn-Sommerville face symmetries, level-set closure, chromatic bound 2q+2, and monoid closure under joins.

  2. Euler Characteristics of Random Manifolds

    math.CO 2026-07 conditional novelty 5.0 of 10

    For a random codimension-1 level set H in a simplicial complex G, E[χ(H)] equals 2−2K(G)−χ(G), with K the curvature functional built from the f-vector.

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