Fidelity results for {DG} modules
Keri Sather-Wagstaff
TL;DR
This paper explores support and cosupport concepts for DG modules over DG algebras, using these ideas to identify derived functors that detect triviality and isomorphisms in derived categories.
Contribution
It introduces new notions of support and cosupport for DG modules and applies them to characterize derived functors that detect triviality and isomorphisms.
Findings
Support and cosupport notions are effective in identifying trivial and isomorphic DG modules.
Derived functors can be characterized using these support concepts.
The approach enhances understanding of derived categories for DG modules.
Abstract
We investigate notions of support and cosupport for differential graded (DG) modules over DG algebras. We apply these notions to identify certain classes of derived functors that are able to detect triviality and isomorphisms in derived categories.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra