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arXiv · 1607.07254

Monodromy of torus fiber bundles and decomposability problem

Mahir Bilen Can·Mustafa Topkara
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Abstract

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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Mahir Bilen Can, Mustafa Topkara. 2016-07-25. Monodromy of torus fiber bundles and decomposability problem. https://arxiv.org/abs/1607.07254

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