Simplicial moves on balanced complexes
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Izmestiev, Ivan
University of Fribourg Department of Mathematics, Fribourg, Switzerland
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Klee, Steven
Seattle University Department of Mathematics, Seattle, USA
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Novik, Isabella
University of Washington Department of Mathematics, Seattle, USA
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.
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Faculty
- Faculté des sciences et de médecine
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Department
- Département de Mathématiques
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Language
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Classification
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Mathematics
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License
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License undefined
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Identifiers
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Persistent URL
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https://folia.unifr.ch/unifr/documents/306202
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