## The spin-statistics connection from homology groups of configuration space and an anyon Wess-Zumino term

This paper reports that the first and second homology groups H[sub i] for configuration spaces of framed two-dimensional particles and antiparticles, with annihilation included, are computed when up to two particles and an antiparticle are present. The set of frames considered are S[sup 2], SO(2) and SO(3). It is found that the H[sub 1] groups are those of the frames and are generated by a cycle corresponding to a 2[pi] frame rotation. This same cycle is homologous to the exchange path - the spin-statistics theorem. Furthermore for the frame space SO(2), H[sub 2] contains a Z subgroup which implies themore »