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math.AT2026
The relative join operad and polyhedral products
Mathieu Vallée
An inclusion of nonvoid simplicial complexes induces an arrow of polyhedral products. Applying Ayzenberg's polyhedral join to both complexes gives a symmetric relative join operad.…
math.AT2024
Toric wedge induction and toric lifting property for piecewise linear spheres with a few vertices
Suyoung Choi, Hyeontae Jang, Mathieu Vallée
Let be an -dimensional piecewise linear sphere on , where . There are a canonical action of -dimensional torus on the moment-angle complex $\mat…