# Non-abelian quantum statistics on graphs

@inproceedings{Macikazek2018NonabelianQS, title={Non-abelian quantum statistics on graphs}, author={Tomasz Macika.zek and Adam Sawicki}, year={2018} }

- Published 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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