Project Roadmap

The development of the Quiver Mutation Database (QMD) is organized in phases, with an emphasis on correctness, stability, and community usability at each stage.

Phase 0 — Project foundation Current

• Establishment of the website
• Definition of project scope and guiding principles
• Design of canonical representations and identifier schemes
• Assessment of existing datasets and software resources suitable for inclusion

This phase focuses on laying a stable conceptual and organizational foundation before large-scale data ingestion or software development.

Phase 1 — Core dataset and identifiers

Goals

• Define a canonical representation for quivers up to relabeling
• Assign stable, permanent identifiers to quivers and mutation classes
• Assemble an initial corpus of quivers from curated sources (e.g., literature, SageMath databases)
• Record basic invariants and metadata for each object
• Set up a wiki for definitions of objects, invariants, and other statistics

Deliverables

• A publicly browsable list of quivers and mutation classes
• Downloadable datasets in standard formats (e.g., CSV, JSON)
• Clear documentation of data sources and assumptions

Phase 2 — Search, filtering, and exploration metadata

Goals

• Enable search and filtering by basic invariants (e.g., number of vertices, acyclicity, known mutation-finite status)
• Record exploration bounds for mutation classes, including partial or truncated computations
• Provide mutation-neighborhood navigation for selected classes

Deliverables

• Interactive browse and search interface
• Class pages documenting known members and exploration limits
• Explicit distinction between fully enumerated and partially explored data

Phase 3 — Computed invariants and reproducible code

Goals

• Expand the collection of computed invariants associated with quivers and mutation classes
• Provide reproducible Python/SageMath or C++ code snippets illustrating definitions and computations
• Track computational provenance and versioning

Deliverables

• Expanded list of invariants with references and domain restrictions
• Reproducible code examples embedded in object pages
• Versioned datasets supporting reproducible research

Phase 4 — Community contributions and sustainability

Goals

• Define workflows for submitting new data and proposed invariants
• Establish review and curation procedures
• Support community contributions while maintaining data quality

Deliverables

• Submission and review guidelines
• Contribution documentation
• Long-term maintenance and governance plan

Long-term vision

The long-term goal of QMD is to serve as a stable reference and experimental platform for research involving quiver mutation, supporting conjecture formation, verification, counterexample hunting, and general discovery across multiple areas of mathematics.

Development priorities will be guided by community feedback and practical usage, with an emphasis on correctness, transparency, and long-term sustainability.