Перегляд за автором "Klimek, S."

Сортувати за: Порядок: Результатів:

  • A Note on Dirac Operators on the Quantum Punctured Disk 
    Klimek, S.; McBride, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We study quantum analogs of the Dirac type operator −2z∂/∂z on the punctured disk, subject to the Atiyah-Patodi-Singer boundary conditions. We construct a parametrix of the quantum operator and show that it is bounded ...
  • A Note on Gluing Dirac Type Operators on a Mirror Quantum Two-Sphere 
    Klimek, S.; McBride, M. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    The goal of this paper is to introduce a class of operators, which we call quantum Dirac type operators on a noncommutative sphere, by a gluing construction from copies of noncommutative disks, subject to an appropriate ...
  • Derivations and Spectral Triples on Quantum Domains I: Quantum Disk 
    Klimek, S.; McBride, M.; Rathnayake, S.; Sakai, K.; Wang, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    We study unbounded invariant and covariant derivations on the quantum disk. In particular we answer the question whether such derivations come from operators with compact parametrices and thus can be used to define spectral ...
  • The Quantum Pair of Pants 
    Klimek, S.; Mcbride, M.; Rathnayake, S.; Sakai, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We compute the spectrum of the operator of multiplication by the complex coordinate in a Hilbert space of holomorphic functions on a disk with two circular holes. Additionally we determine the structure of the C∗-algebra ...