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math.GT2023
An algorithm to construct one-vertex triangulations of Heegaard splittings
Alexander He, James Morgan, Em K. Thompson
Following work of Jaco and Rubinstein (2006), which (non-constructively) proved that any 3-manifold admits a one-vertex layered triangulation, we present an algorithm, with impleme…
math.GT2023★ 1 cited
Finding large counterexamples by selectively exploring the Pachner graph
Benjamin A. Burton, Alexander He
We often rely on censuses of triangulations to guide our intuition in -manifold topology. However, this can lead to misplaced faith in conjectures if the smallest counterexample…