Title: A Density Result for Real Hyperelliptic Curves,
Abstract: Let $\{\infty^+, \infty^-\}$ be the two points above $\infty$ on the real
hyperelliptic curve $H: y^2 = (x^2 - 1) \prod_{i=1}^{2g} (x - a_i)$. We show
that the divisor $([\infty^+] - [\infty^-])$ is torsion in $\operatorname{Jac}
J$ for a dense set of $(a_1, a_2, \ldots, a_{2g}) \in (-1, 1)^{2g}$. In fact,
we prove by degeneration to a nodal $\mathbb{P}^1$ that an associated period
map has derivative generically of full rank.