Collapses, products and LC manifolds

Bruno Benedetti

Research output: Contribution to journal › Article

3 Citations (Scopus)

Abstract

The quantum physicists Durhuus and Jonsson (1995) introduced the class of "locally constructible" (LC) triangulated manifolds and showed that all the LC 2- and 3-manifolds are spheres. We show here that for each d > 3 some LC d-manifolds are not spheres. We prove this result by studying how to collapse products of manifolds with one facet removed.

Original languageEnglish (US)
JournalJournal of Combinatorial Theory, Series A
DOIs
StateAccepted/In press - 1800
Externally publishedYes

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Constructible
Facet

Keywords

  • Collapse
  • LC manifold
  • Product complex
  • Simple homotopy type

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Discrete Mathematics and Combinatorics
  • Theoretical Computer Science

Cite this

Collapses, products and LC manifolds. / Benedetti, Bruno.

In: Journal of Combinatorial Theory, Series A, 1800.

Research output: Contribution to journal › Article

Benedetti, B 1800, 'Collapses, products and LC manifolds', Journal of Combinatorial Theory, Series A. https://doi.org/10.1016/j.jcta.2010.05.001
Benedetti B. Collapses, products and LC manifolds. Journal of Combinatorial Theory, Series A. 1800. https://doi.org/10.1016/j.jcta.2010.05.001
Benedetti, Bruno. / Collapses, products and LC manifolds. In: Journal of Combinatorial Theory, Series A. 1800.
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