A new perspective on k-triangulations |
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Authors: | Christian Stump |
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Institution: | LaCIM, Université du Québec à Montréal, Montréal (Québec), Canada |
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Abstract: | We connect k-triangulations of a convex n-gon to the theory of Schubert polynomials. We use this connection to prove that the simplicial complex with k-triangulations as facets is a vertex-decomposable triangulated sphere, and we give a new proof of the determinantal formula for the number of k-triangulations. |
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Keywords: | k-triangulation Triangulated sphere Enumerative combinatorics Pipe dream Schubert polynomial |
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