Journal article

Simplicial moves on balanced complexes

  • Izmestiev, Ivan University of Fribourg Department of Mathematics, Fribourg, Switzerland
  • Klee, Steven Seattle University Department of Mathematics, Seattle, USA
  • Novik, Isabella University of Washington Department of Mathematics, Seattle, USA
    07.11.2017
Published in:
  • Advances in Mathematics. - 2017, vol. 320, no. Supplement C, p. 82–114
English We introduce a notion of cross-flips: local moves that transform a balanced (i.e., properly (d+1)-colored) triangulation of a combinatorial d-manifold into another balanced triangulation. These moves form a natural analog of bistellar flips (also known as Pachner moves). Specifically, we establish the following theorem: any two balanced triangulations of a closed combinatorial d-manifold can be connected by a sequence of cross-flips. Along the way we prove that for every m≥d+2 and any closed combinatorial d-manifold M, two m-colored triangulations of M can be connected by a sequence of bistellar flips that preserve the vertex colorings.
Faculty
Faculté des sciences et de médecine
Department
Département de Mathématiques
Language
  • English
Classification
Mathematics
License
License undefined
Identifiers
Persistent URL
https://folia.unifr.ch/unifr/documents/306202
Statistics

Document views: 8 File downloads:
  • izm_smb.pdf: 2