S_•-construction on stable proto-Waldhausen squares categories produces 2-Segal spaces.
arXiv preprint arXiv:2405.11528 , year=
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Constructs a projective resolution of the symplectic Steinberg module St^ω_{2n}(K) and uses it to compute top cohomology of level-p congruence subgroups of Sp_{2n}(R) for Euclidean R with surjective unit map.
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Squares K-theory and 2-Segal spaces
S_•-construction on stable proto-Waldhausen squares categories produces 2-Segal spaces.
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A projective resolution of the symplectic Steinberg module
Constructs a projective resolution of the symplectic Steinberg module St^ω_{2n}(K) and uses it to compute top cohomology of level-p congruence subgroups of Sp_{2n}(R) for Euclidean R with surjective unit map.