Categorification of some Penrose polynomials

D. W. Collison; D. Tubbenhauer

Categorification of some Penrose polynomials

组合数学 2026-07-02 v1 几何拓扑

作者: D. W. Collison , D. Tubbenhauer

摘要

We construct doubly- and triply-graded Penrose-type homologies for ribbon graphs. The construction is a TQFT-valued cube of resolutions built from two-dimensional cobordisms, which may be nonorientable. Their Euler characteristics recover specializations of some Penrose polynomials; in particular, the four color case comes with a refinement of the classical Penrose criterion.

引用

@article{arxiv.2607.01632,
  title  = {Categorification of some Penrose polynomials},
  author = {D. W. Collison and D. Tubbenhauer},
  journal= {arXiv preprint arXiv:2607.01632},
  year   = {2026}
}

备注

34 pages, many figures, comments welcome