Studying links via closed braids IV: composite links and split links. Joan S. Birman; W.W. Menasco — 1990 Inventiones mathematicae
Knot polynomials and Vassiliev's invariants. Joan S. Birman; Xiao-Song Lin — 1993 Inventiones mathematicae
A new algorithm for recognizing the unknot. Birman, Joan S.; Hirsch, Michael D. — 1998 Geometry & Topology