A categorification for the partial-dual genus polynomial
Abstract
The partial-dual genus polynomial ∂G(z) of a ribbon graph G is the generating function that enumerates all partial duals of G. In this paper, we give a categorification for this polynomial. The key ingredient of the construction is an extended Frobenius algebra related to unoriented topological quantum field theory.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.