Browsing by Subject "noncommutative geometry"

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    Dirac type operators on the quantum solid torus with global boundary conditions
    (Elsevier, 2020-04) Klimek, Slawomir; McBride, Matt; Mathematical Sciences, School of Science
    We define a noncommutative space we call the quantum solid torus. It is an example of a noncommutative manifold with a noncommutative boundary. We study quantum Dirac type operators subject to Atiyah-Patodi-Singer like boundary conditions on the quantum solid torus. We show that such operators have compact inverse, which means that the corresponding boundary value problem is elliptic.