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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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.
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.
- A projective resolution of the symplectic Steinberg module