%0 Journal Article %T CR singularities of real fourfolds in $\mathbb{C}^3$ %A Adam Coffman %J Mathematics %D 2009 %I arXiv %X CR singularities of real 4-submanifolds in complex 3-space are classified by using local holomorphic coordinate changes to transform the quadratic coefficients of the real analytic defining equation into a normal form. The quadratic coefficients determine an intersection index, which appears in global enumerative formulas for CR singularities of compact submanifolds. %U http://arxiv.org/abs/0904.2794v1