Chow classes of divisors on stacks of pointed hyperelliptic curves

We calculate the classes of the universal hyperelliptic Weierstrass divisor ${\bar{\mathcal{H}}}_{g,w}$ and the universal $g_2^1$ divisor $\bar{{\mathcal H}}{g,g^1_2}$\mathrm{.}Ourresultsareexpressedintermsofabasisfor$Cl(\bar{{\mathcal H}}{g,1})$and$Cl(\bar{{\mathcal H}}_{g,2})$ computed by Scavia.