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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3 Pith papers cite this work. Polarity classification is still indexing.
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The free O-algebra on a P-algebra is the colimit over the O-monoidal envelope of P for any morphism of ∞-operads P → O.
Twisted R-algebra structures on quotients of real ring spectra are built via Thom spectra, enabling real THH computations including for KR/2.
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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Free algebras via monoidal envelopes
The free O-algebra on a P-algebra is the colimit over the O-monoidal envelope of P for any morphism of ∞-operads P → O.
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Equivariant twisted $R$-algebras via Thom spectra
Twisted R-algebra structures on quotients of real ring spectra are built via Thom spectra, enabling real THH computations including for KR/2.