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math.CO2025
Non-Abelian expansion of congruence KMS complexes
Izhar Oppenheim, Inga Valentiner-Branth
Coboundary expansion with non-Abelian coefficients is a strong version of high-dimensional expansion for simplicial complexes. One motivation for studying this notion is that it wa…
math.CO2025
New cosystolic high-dimensional expanders from KMS groups
Izhar Oppenheim, Inga Valentiner-Branth
Cosystolic expansion is a high-dimensional generalization of the Cheeger constant for simplicial complexes. Originally, this notion was motivated by the fact that it implies the to…
math.CO2024★ 2 cited
High-dimensional expanders from Kac--Moody--Steinberg groups
Laura Grave de Peralta, Inga Valentiner-Branth
High-dimensional expanders are a generalization of the notion of expander graphs to simplicial complexes and give rise to a variety of applications in computer science and other fi…