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Dg categories as eilenberg-mac lane spectral algebra (2008).
| Content Provider | CiteSeerX |
|---|---|
| Author | Tabuada, Goncalo |
| Abstract | We construct a zig-zag of Quillen equivalences between the homotopy theories of differential graded (=DG) and Eilenberg-Mac Lane spectral (=HR) categories. As an application, every invariant of HR-categories gives rise to an invariant of DG categories. In particular, we obtain a well-defined topological Hochschild homology theory for DG categories. Moreover, by considering the restriction functor from HR-categories to spectral ones, we obtain a topological equivalence theory, which generalizes previous work by Dugger-Shipley on DG algebras. In particular, we show that over the rationals Q, two DG categories are topological equivalent if and only |
| File Format | |
| Publisher Date | 2008-01-01 |
| Access Restriction | Open |
| Subject Keyword | Dg Category Eilenberg-mac Lane Spectral Algebra Quillen Equivalence Eilenberg-mac Lane Previous Work Restriction Functor Dg Algebra Topological Equivalence Theory Spectral One Well-defined Topological Hochschild Homology Theory Homotopy Theory |
| Content Type | Text |
