Minimality and fiber sum decompositions of Lefschetz fibrations

Baykur, R.

doi:10.1090/proc/12835

Minimality and fiber sum decompositions of Lefschetz fibrations
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by R. İnanç Baykur PDF

Proc. Amer. Math. Soc. 144 (2016), 2275-2284 Request permission

Abstract:

We give a short proof of a conjecture of Stipsicz on the minimality of fiber sums of Lefschetz fibrations, which was proved earlier by Usher. We then construct the first examples of genus $g \geq 2$ Lefschetz fibrations on minimal symplectic 4-manifolds which, up to diffeomorphisms of the summands, admit unique decompositions as fiber sums.

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