Non-abelian quantum statistics on graphs

@inproceedings{Macikazek2018NonabelianQS,
  title={Non-abelian quantum statistics on graphs},
  author={Tomasz Macika.zek and Adam Sawicki},
  year={2018}
}
We show, that the non-abelian quantum statistics can be studied using certain topological invariants, which are the homology groups of configuration spaces. In particular, we formulate a general framework for describing quantum statistics of particles constrained to move in a topological space $X$. The framework involves the study of flat complex vector bundles over the configuration space of $X$, which can be achieved by determining its homology groups. We apply this methodology for… CONTINUE READING
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