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
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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
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- English
- Classification
- Mathematics
- License
- License undefined
- Identifiers
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- RERO DOC 306269
- DOI 10.1016/j.aim.2017.08.036
- Persistent URL
- https://folia.unifr.ch/unifr/documents/306202
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