Relative gerbes |
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| Affiliation: | 1. Department of Natural Sciences, National Institute of Technology, Ibaraki College, 866 Nakane, Hitachinaka-shi, Ibaraki-Ken 312-8508, Japan;2. Department of Mathematics and Information Sciences, Graduate School of Science and Engineering, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachiohji 192-0397, Japan;1. Department of Mathematics and Department of Computer Science, Georgetown University, Washington D.C. 20057, USA;2. Department of Mathematics, Fu Jen Catholic University, Taipei 242, Taiwan, ROC;3. Department of Mathematics, University of Bergen, NO-5008 Bergen, Norway;4. Department of Mathematics, Zhejiang University, Zhejiang 310027, PR China;1. Mathematics Department, Harvard University, Cambridge, MA, USA;2. Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA, USA;3. Department of Mathematics and Statistics, Faculty of Science, Masaryk University, Brno, Czech Republic |
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| Abstract: | ![]()
This paper introduces the notion of “relative gerbes” for smooth maps of manifolds, and discusses their differential geometry. The equivalence classes of relative gerbes are further classified by the relative integral cohomology in degree 3. |
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