A categorification for the partial-dual genus polynomial
The partial-dual genus polynomial $^\partial\varepsilon_G(z)$ 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 u...
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| Zusammenfassung: | The partial-dual genus polynomial $^\partial\varepsilon_G(z)$ 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. |
|---|---|
| DOI: | 10.48550/arxiv.2401.03632 |