Derived Completions in Stable Homotopy theory
By Gunnar E. Carlsson. 2007
47 citations recorded by the source corpus.
We introduce a notion of derived completion applicable to arbitrary homomorphisms of commutative S-algebras, and work out some of its properties, including invariance results, a spectral sequence proceeding from purely algebraic information to the geometric results, and analysis of relationships with earlier constructions. We also provide some examples. The construction has applications in algebraic K-theory.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/d9018d3faa5c1b257d2dcd4a9c8e9ee11e702521
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Kathryn Hess
- John E. Harper
- Bertrand Toën
- Tobias Dyckerhoff
- David White
- Jacob Lurie
- Clark Barwick
- Gonçalo Tabuada
In Geometry and Topology
- Kathryn Hess
- John E. Harper
- Bertrand Toën
- Tobias Dyckerhoff
- Jacob Lurie
- Clark Barwick
- David White
- Gonçalo Tabuada
In Mathematical Physics
- Kathryn Hess
- John E. Harper
- Bertrand Toën
- Tobias Dyckerhoff
- David White
- Jacob Lurie
- Clark Barwick
- Gonçalo Tabuada
Citations in the corpus
- Derived algebraic geometry (2014, background): “This descent for closed immersions goes back to some fundamental results of Carlsson concerning completions in stable homotopy theory (see [27]) and is more subtle than the smooth descent just mentioned.”
- Derived Algebraic Geometry (2014, background): “This descent for closed immersions goes back to some fundamental results of Carlsson concerning completions in stable homotopy theory (see [27]) and is more subtle than the smooth descent just mentioned.”
- Homotopy completion and topological Quillen homology of structured ring spectra (2011, background): “The following description of TQ-completion is closely related to [11] and [34].”