Title: Fractional Abelian topological phases of matter for fermions in two-dimensional space,
Abstract: These notes constitute chapter 7 from "l'Ecole de Physique des Houches"
Session CIII, August 2014 dedicated to Topological Aspects of Condensed matter
physics. The tenfold way in quasi-one-dimensional space is presented. The
method of chiral Abelian bosonization is reviewed. It is then applied to the
stability analysis for the edge theory in symmetry class AII, and for the
construction of two-dimensional topological phases from coupled wires.