Gluing derived equivalences together

@article{Asashiba2012GluingDE,
  title={Gluing derived equivalences together},
  author={Hideto Asashiba},
  journal={arXiv: Representation Theory},
  year={2012}
}
  • H. Asashiba
  • Published 1 April 2012
  • Mathematics
  • arXiv: Representation Theory
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References

SHOWING 1-10 OF 14 REFERENCES
The Grothendieck Construction and Gradings for Enriched Categories
The Grothendieck construction is a process to form a single category from a diagram of small categories. In this paper, we extend the definition of the Grothendieck construction to diagrams of small
Derived Equivalences of Actions of a Category
TLDR
This work investigates derived equivalences of those oplax functors, and establishes a Morita type theorem for them, which gives a base of investigations of derived equivalence of Grothendieck constructions of those Oplaxfunctors.
Deriving DG categories
— We investigate the (unbounded) derived category of a differential Z-graded category (=DG category). As a first application, we deduce a "triangulated analogue" (4.3) of a theorem of Freyd's [5],
Presentations of Grothendieck Constructions
We will give quiver presentations of the Grothendieck constructions of functors from a small category to the 2-category of 𝕜-categories for a commutative ring 𝕜.
Bimodule Complexes via Strong Homotopy Actions
We present a new and explicit method for lifting a tilting complex to a bimodule complex. The key ingredient of our method is the notion of a strong homotopy action in the sense of Stasheff.
Basic Bicategories
A concise guide to very basic bicategory theory, from the definition of a bicategory to the coherence theorem.
Coherence of tricategories
Interestingly, coherence of tricategories that you really wait for now is coming. It's significant to wait for the representative and beneficial books to read. Every book that is provided in better
Revetements etales et groupe fondamental
...
1
2
...