Genuine equivariant operads

DOI10.1016/j.aim.2020.107502zbMath1464.18017arXiv1707.02226OpenAlexW2733257801MaRDI QIDQ2656117

Peter Bonventre, Luís Alexandre Pereira

Publication date: 10 March 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02226

zbMATH Keywords

equivariant homotopy theoryoperadsnorm maps

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Loop space machines and operads in algebraic topology (55P48) Bimonoidal, skew-monoidal, duoidal categories (18M50)

Related Items (17)

Homotopy theory of equivariant operads with fixed colors ⋮ Global transfer systems of abelian compact Lie groups ⋮ The genuine operadic nerve ⋮ Saturated and linear isometric transfer systems for cyclic groups of order \(p^m q^n\) ⋮ Lifting \(N_\infty\) operads from conjugacy data ⋮ Global N∞$N_\infty$‐operads ⋮ Equivariant dendroidal sets and simplicial operads ⋮ Genuine‐commutative structure on rational equivariant K$K$‐theory for finite abelian groups ⋮ Idempotent characters and equivariantly multiplicative splittings of K‐theory ⋮ Multiplicativity of the idempotent splittings of the Burnside ring and the \(G\)-sphere spectrum ⋮ Equivariant chromatic localizations and commutativity ⋮ Operadic lifts of the algebra of indexing systems ⋮ Combinatorial \(N_\infty\) operads ⋮ The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors ⋮ \(N_\infty \)-operads and associahedra ⋮ Equivariant stable categories for incomplete systems of transfers ⋮ On the homotopy theory of equivariant colored operads

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