Goerss--Hopkins obstruction theory for $\infty$-categories

Abstract

Goerss--Hopkins obstruction theory is a powerful tool for constructing structured ring spectra from purely algebraic data. Using the formalism of model $\infty$-categories, we provide a generalization that applies in an arbitrary presentably symmetric monoidal stable $\infty$-category (such as that of equivariant spectra or of motivic spectra).

References in corpus (17)

• Higher Topos Theory
• Enriched $\infty$-categories via non-symmetric $\infty$-operads
• From algebraic cobordism to motivic cohomology
• Encoding Equivariant Commutativity via Operads
• Genuine equivariant operads
• Equivariant symmetric monoidal structures
• G-symmetric monoidal categories of modules over equivariant commutative ring spectra
• Brauer groups and Galois cohomology of commutative ring spectra
• C-motivic modular forms
• All about the Grothendieck construction
• Exotic Motivic Periodicities
• Model $\infty$-categories I: some pleasant properties of the $\infty$-category of simplicial spaces
• Motivic modular forms from equivariant stable homotopy theory
• The homotopy of C-motivic modular forms
• Model $\infty$-categories II: Quillen adjunctions
• Calculating obstruction groups for E-infinity ring spectra
• Model $\infty$-categories III: the fundamental theorem

Cited by in corpus (1)

• ${\mathbb{E}}_{\infty }$ automorphisms of motivic Morava $E$-theories