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math.CO2025
On graphs, homology bases, and triangulated homology spheres
Karim Adiprasito, Marc Lackenby, Juan Souto +1
We describe a construction that takes as input a graph and a basis for its first homology, and returns a triangulation of a 3-dimensional homology sphere. This makes precise an ide…
math.CO2025
-anisotropy on the moment curve for homology manifolds and cycles
Karim Adiprasito, Kaiying Hou, Daishi Kiyohara +2
We prove that the Gorensteinification of the face ring of a cycle is totally -anisotropic in characteristic . In other words, given an appropriate Artinian reduction, it cont…