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T3-fibrations on compact six-manifolds

P Baier

math.DGarXiv:math/0109087

Abstract

We describe a simple way of constructing torus fibrations T3 X S3 which degenerate canonically over a knot or link in S3. We show that the topological invariants of X can be computed algebraically from the monodromy representation of the fibration. We use this to obtain some new T3-fibrations S3× S3 S3 and (S3× S3)#(S3× S3)#(S4× S2) S3 whose discriminant locus is a torus knot.

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