Quiver Mutation Database

Open research infrastructure for quivers, exchange matrices, and mutation-equivalence classes — curated, citable, and reproducible.

Status: Under active development Phase 1: Core dataset & identifiers

QMD is a curated, citable database of quivers and mutation classes, with rigorously defined invariants and transparent computational provenance. See the About page for the design principles, or the Roadmap for the current phase and what's next.

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Distinct quivers

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Labeled quivers

1–4

Ranks covered

Start exploring

Browse the database Page through every quiver, sortable and filterable. Search & filter Find quivers by rank, Dynkin type, invariants, and more.

Featured quiver

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Recent updates

Jun 2026 Mutation-class invariants (mutation-finite, acyclic) now carry explicit provenance for every value.
Jun 2026 Labeled-quiver counts added, plus CSV and Excel export of any filtered cut of the dataset.
May 2026 Stable canonical identifiers for quivers and mutation classes, with sortable browsing.
May 2026 Searchable invariants: rank, Dynkin type, representation type, connectivity, and more.

How to cite

If QMD supports your work, please cite the database:

@misc{qmd,
  author       = {Jackson, Blake},
  title        = {The Quiver Mutation Database},
  year         = {2026},
  howpublished = {\url{https://quivermutationdb.org}},
  note         = {Accessed: 2026}
}

Questions or suggestions? Contact jackson@icarm.io.