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Cosystolic expansion is a high-dimensional generalization of the Cheeger constant for simplicial complexes.
Finite generation of the groups K i K_{i} of rings of algebraic integers
Daniel Quillen · 1973
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Buildings of spherical type and finite BN-pairs
Jacques Tits · 1974
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Präsentationen von Chevalleygruppen über k[t]
U Rehmann · 1975
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Spherical posets and homology stability for O n , n {\rm O}_{n,n}
Karen Vogtmann · 1981
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Simple groups of Lie type
R. W. Carter · 1989
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Reflection groups and Coxeter groups
James E. Humphreys · 1990
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On the homotopy type of subcomplexes of Tits buildings
Herbert Abels and Peter Abramenko · 1993
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Twin buildings and applications to S-arithmetic groups
Peter Abramenko · 1996
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Explicit constructions of Ramanujan complexes of type A ~ d \widetilde{A}_{d}
Alexander Lubotzky, Beth Samuels, and Uzi Vishne · 2005
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Buildings
P. Abramenko and K. S. Brown · 2008
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Lie Groups and Lie Algebras: Chapters 4-6
N. Bourbaki · 2008
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Singularities, expanders and topology of maps. Part 2: From combinatorics to topology via algebraic isoperimetry
Mikhail Gromov · 2010
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High dimensional expanders and property testing
Tali Kaufman and Alexander Lubotzky · 2014
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Isoperimetric inequalities for Ramanujan complexes and topological expanders
Tali Kaufman, David Kazhdan, and Alexander Lubotzky · 2016
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Expansion of building-like complexes
Alexander Lubotzky, Roy Meshulam, and Shahar Mozes · 2016
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On expansion and topological overlap
Dominic Dotterrer, Tali Kaufman, and Uli Wagner · 2018
Cited alongside, same era.
Construction of new local spectral high dimensional expanders
Tali Kaufman and Izhar Oppenheim · 2018
Cited alongside, same era.
An introduction to Kac-Moody groups over fields
T. Marquis · 2018
Cited alongside, same era.
High-Dimensional Expansion and Crossing Numbers of Simplicial Complexes (PhD thesis)
Pascal Frederik Wild · 2022
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New codes on high dimensional expanders
Irit Dinur, Siqi Liu, and Rachel Yun Zhang · 2023
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High dimensional expanders and coset geometries
T. Kaufman and I. Oppenheim · 2023
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Characterizing direct product testing via coboundary expansion
Mitali Bafna and Dor Minzer · 2024
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Coboundary and Cosystolic Expansion Without Dependence on Dimension or Degree
Yotam Dikstein and Irit Dinur · 2024
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Low acceptance agreement tests via bounded-degree symplectic HDXs
Yotam Dikstein, Irit Dinur, and Alexander Lubotzky · 2024
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Testing odd direct sums using high dimensional expanders
Roy Gotlib and Tali Kaufman · 2019
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Quantitative aspects of acyclicity
Dmitry N. Kozlov and Roy Meshulam · 2019
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Unique-Neighbor-Like Expansion and Group-Independent Cosystolic Expansion
Tali Kaufman and David Mass · 2021
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Coboundary and cosystolic expansion from strong symmetry
Tali Kaufman and Izhar Oppenheim · 2021
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New cosystolic expanders from tensors imply explicit quantum LDPC codes with Ω ( n log k n ) \Omega(\sqrt{n}\log^{k}n) distance
Tali Kaufman and Ran J. Tessler · 2021
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High-dimensional expanders from Chevalley groups
Ryan O’Donnell and Kevin Pratt · 2022
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Bounded degree cosystolic expanders of every dimension
Shai Evra and Tali Kaufman · 2024
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Decodable quantum LDPC codes beyond the n \sqrt{n} distance barrier using high-dimensional expanders
Shai Evra, Tali Kaufman, and Gilles Zémor · 2024
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High-dimensional expanders from Kac–Moody–Steinberg groups, 2024
Laura Grave de Peralta and Inga Valentiner-Branth · 2024
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Coboundary expansion inside Chevalley coset complex HDXs, 2024
Ryan O’Donnell and Noah G. Singer · 2024
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Quasi-linear size PCPs with small soundness from HDX
Mitali Bafna, Dor Minzer, Nikhil Vyas, and Zhiwei Yun · 2025
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