Bibliography

calculator index · sources

Sources

Mathematical Sources

Article-level sources and software references used while building the Pure Math Toolkit. These notes record where each source influenced implementation, both for proper credit and for future debugging. This is a partial bibliography: some references may be missing, and AI-assisted code may reflect algorithms or conventions learned from sources that were not explicitly named.

References

  1. Vincent Delecroix, Johannes Schmitt, and Jason van Zelm. admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves. J. Softw. Algebra Geom. 11 (2021), 89--112. DOI: 10.2140/jsag.2021.11.89. arXiv:2002.01709.

    Used for computing divisors of the dual graph in the Mosaic Calculator.

  2. Roger Howe, Eng-Chye Tan, and Jeb F. Willenbring. Stable branching rules for classical symmetric pairs. Trans. Am. Math. Soc. 357 (2005), no. 4, 1601--1626. DOI: 10.1090/S0002-9947-04-03722-5. arXiv:math/0311159.

    Stable branching formulas and Littlewood-Richardson coefficient conventions currently realized in the Young Diagram Calculator.

  3. I. G. Macdonald. Symmetric products of an algebraic curve. Topology 1 (1962), 319--343. DOI: 10.1016/0040-9383(62)90019-8.

    Used for the Sym^m(C) variety type in the Sheaf Calculator, including Hodge numbers and tangent/cotangent Chern-class formulas.