%0 Journal Article %T Semistability of Certain Bundles on Second Symmetric Power of a Curve %A Krishanu Dan %A Sarbeswar Pal %J Mathematics %D 2015 %I arXiv %X Let $C$ be a smooth irreducible projective curve and $E$ be a rank 2 stable vector bundle on $C$. Then one can associate a rank 4 vector bundle $\mathcal{F}_2(E)$ on $S^2(C)$, second symmetric power of $C$. Our goal in this article is to study semistability of this bundle. %U http://arxiv.org/abs/1503.08910v1