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  • 1. Fjelstad, Jens
    et al.
    Fuchs, Jurgen
    Runkel, Ingo
    Schweigert, Christoph
    TFT construction of RCFT correlators. V. Proof of modular invariance and factorisation2006In: Theory and Applications of Categories, ISSN 1201-561X, E-ISSN 1201-561X, Vol. 16, p. 342-433Article in journal (Refereed)
    Abstract [en]

    The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [FRSI,FRSII,FRSIV] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary factorisation constraints. We present results both for conformal field theories defined on oriented surfaces and for theories defined on unoriented surfaces. In the latter case, in particular the so-called cross cap constraint is included.

  • 2. Khovanov, Mikhail
    et al.
    Mazorchuk, Volodymyr
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Stroppel, Catharina
    A brief review of abelian categorifications2009In: Theory and Applications of Categories, ISSN 1201-561X, E-ISSN 1201-561X, Vol. 22, no 19, p. 479-508Article in journal (Refereed)
  • 3.
    Palmgren, Erik
    Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Algebra, Geometry and Logic.
    Locally cartesian closed categories without chosen constructions2008In: Theory and Applications of Categories, ISSN 1201-561X, E-ISSN 1201-561X, Vol. 20, p. 5-17Article in journal (Refereed)
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