A categorification for the partial-dual genus polynomial
Abstract
The partial-dual genus polynomial ∂εG(z) of a ribbon graph G is the generating function that enumerates all partial duals of G. We exhibit a categorification for this polynomial. The key ingredient of the construction is an extended Frobenius algebra related to unoriented topological quantum field theory.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Advanced Topics in Algebra
Publication details
- Journal / source
- Fundamenta Mathematicae
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 3 July 2026
- Language
- EN