\documentclass[12pt,notitlepage]{article}
\usepackage{amsmath,amssymb}

\begin{document}

\[ w_{\mathfrak{sl}_2,2}(\pi_{2m}(D))\!=\!2R_m(D)c_2^m\!+\!\ldots \]
\[ \Updownarrow \]
\[ JJ(h)(K)\cdot \widetilde{C}(h)(K)=1 \]

\end{document}