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arxiv: 1607.07254 · v2 · pith:2V5Z3V3Knew · submitted 2016-07-25 · 🧮 math.AT · math.GT

Monodromy of torus fiber bundles and decomposability problem

classification 🧮 math.AT math.GT
keywords fibertorusbundlebundlescircledecomposablenotionstably
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The notion of a (stably) decomposable fiber bundle is introduced. In low dimensions, for torus fiber bundles over a circle the notion translates into a property of elements of the special linear group of integral matrices. We give a complete characterization of the stably decomposable torus fiber bundle of fiber-dimension less than 4 over the circle.

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