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Parametrized and equivariant higher algebra
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Parametrized and equivariant higher algebra
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We develop the rudiments of a theory of parametrized $\infty$-operads, including parametrized generalizations of monoidal envelopes, Day convolution, operadic left Kan extensions, results on limits and colimits of algebras, and the symmetric monoidal Yoneda embedding.
Forward citations
Cited by 3 Pith papers
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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.
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