Bundle Gerbes and Surface Holonomy

Details Bundle Gerbes and Surface Holonomy Bundle Gerbes and Surface Holonomy

2009-01-14

arxiv.org/abs/0901.2085v1

Mathematics

Differential Geometry

25 pages

Scientific paper

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.

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