Errata for Graphs on surfaces: Dualities, Polynomials, and Knots
Errata for Graphs on surfaces: Dualities, Polynomials, and Knots
p27 line 8: the "non-orientable" should read "orientable".
p29 Figure 2.6(d): There should be a "twist" in edge 1.
p31: Definition 2.9 is incorrectly attributed to "Bradford, Butler and Chmutov [8]". The correct attribution is "Chmutov [16]".
p59: Proposition 3.27 is incorrect. In particular Wilson’s Theorem is misstated. It should read “If M is an orientable regular map, then its underlying graph is bipartite iff P(M) is also orientable.” [noted 2013]
p63-64: The last line on p63 and the first few lines of p64 should read (with changes in bold): ...then the boundary of $e \cup \{u\} \cup \{v\}$ is a circle, and we can define $G/e$ as the result of gluing a disc to that circle then deleting $e \cup \{u\} \cup \{v\}$. [With thanks to Maya Thompson for spotting the error; noted 2019]
p51/p57: In the last two lines of the proof of Corollary 3.9, there subscript m’s missing: the two appearances of $\mathcal(F_{\vec{s}})=\mathcal(F_{\vec{s}’})$ should be $\mathcal((F_{\vec{s}})_m)=\mathcal((F_{\vec{s}’})_m)$. A similar comment applies to the proof of Corollary 3.21. [With thanks to Wout Moltmaker; noted 2021]
p96: The proof of theorem 4.52 contains a minor typo, namely a missing 'v' to denote the number of vertices: it should say v( (G*)^x ) instead of (G*)^x below the computation for P(G;-k) on page 96. [With thanks to Wout Moltmaker; noted 2021]