Monodromy of torus fiber bundles and decomposability problem
Algebraic Topology
2017-03-21 v2 Geometric Topology
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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Cite
@article{arxiv.1607.07254,
title = {Monodromy of torus fiber bundles and decomposability problem},
author = {Mahir Bilen Can and Mustafa Topkara},
journal= {arXiv preprint arXiv:1607.07254},
year = {2017}
}
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15 pages