Bundle gerbes and surface holonomy
Jürgen FuchsKarlstads Universitet, Sweden
Thomas NikolausUniversität Regensburg, Germany
Christoph SchweigertUniversität Hamburg, Germany
Konrad WaldorfUniversity of California, Berkeley, USA
Download Chapter PDF
A subscription is required to access this book chapter.
Hermitian bundle gerbes with connection are geometric objects for which a notion of surface holonomy can be deﬁned for closed oriented surfaces. We systematically introduce bundle gerbes by closing the pre-stack of trivial bundle gerbes under descent. Inspired by structures arising in a representation theoretic approach to rational conformal ﬁeld theories, we introduce geometric structure that is appropriate to deﬁne surface holonomy in more general situations: Jandl gerbes for unoriented surfaces, D-branes for surfaces with boundaries, and bi-branes for surfaces with defect lines.