nLab Representability Theorems



Higher geometry

Higher algebra

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of representability by Deligne-Mumford stacks in E-∞ geometry (“geometric ∞-stacks”).

This provides the main technical ingredient, Proposition 4.1, in A Survey of Elliptic Cohomology, on the Goerss-Hopkins-Miller-Lurie theorem.

More concrete implementations of the main theorem appear in


1. Cotangent complex

2. Properties of moduli functors

2.1 Nilcomplete, Cohesive, and Integrable Functors

2.2 Relativized properties of functors

2.3 Finiteness conditions on functors

2.4 Moduli of spectral Deligne-Mumford stacks

3. Representability theorems

4. Tangent complexes and dualizing modules

4.1 The tangent complex

4.2 Dualizing modules

4.3 Existence of dualizing modules

4.4 A linear representability criterion

4.5 Existence of cotangent complexes

category: reference

Last revised on May 22, 2014 at 09:19:12. See the history of this page for a list of all contributions to it.