Introduces Goncharov Lie coalgebra from GL homology and uses it with spectral sequences to describe rational K-theory of fields via weight-3 polylogarithms beyond prior low-degree cases.
[Cam+23] Jonathan Campbell, Josefein Kuijper, Mona Merlin g, and Inna Zakharevich
4 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 4representative citing papers
Matroid complexes are equipped with bicomplexes forming a Hopf algebra whose dg-structure yields acyclicity theorems and explicit homology computations that detect nontrivial classes conjecturally generated by odd-wheel matroids.
S_•-construction on stable proto-Waldhausen squares categories produces 2-Segal spaces.
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.
citing papers explorer
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The Goncharov Lie coalgebra of a field
Introduces Goncharov Lie coalgebra from GL homology and uses it with spectral sequences to describe rational K-theory of fields via weight-3 polylogarithms beyond prior low-degree cases.
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Explorations of Matroid Complexes
Matroid complexes are equipped with bicomplexes forming a Hopf algebra whose dg-structure yields acyclicity theorems and explicit homology computations that detect nontrivial classes conjecturally generated by odd-wheel matroids.
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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.