%0 Journal Article
%T Discrete Morse functions for graph configuration spaces
%A Adam Sawicki
%J Mathematics
%D 2012
%I arXiv
%R 10.1088/1751-8113/45/50/505202
%X We present an alternative application of discrete Morse theory for two-particle graph configuration spaces. In contrast to previous constructions, which are based on discrete Morse vector fields, our approach is through Morse functions, which have a nice physical interpretation as two-body potentials constructed from one-body potentials. We also give a brief introduction to discrete Morse theory. Our motivation comes from the problem of quantum statistics for particles on networks, for which generalized versions of anyon statistics can appear.
%U http://arxiv.org/abs/1206.1986v2