Mahir Bilen Can, Mustafa Topkara
Abstract
The notion of a (stably) decomposable fiber bundle is introduced. For torus fibrations over the circle, the notion translates into a property of matrices from special linear group of integral matrices. We give a complete characterization of the stably decomposable torus fibration of fiber-dimension less than 4 over the circle.
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The notion of a (stably) decomposable fiber bundle is introduced. For torus fibrations over the circle, the notion translates into a property of matrices from special linear group of integral matrices. We give a complete characterization of the stably decomposable torus fibration of fiber-dimension less than 4 over the circle.
Key concepts: Fibration, Torus, Monodromy, Mathematics, Dimension (graph theory), Pure mathematics, Characterization (materials science), Bundle