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arXiv:1205.1111 [math.GT]AbstractReferencesReviewsResources

Upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus

Noriyuki Hamada

Published 2012-05-05Version 1

In this paper, we give some relations in the mapping class groups of oriented closed surfaces in the form that a product of a small number of right hand Dehn twists is equal to a single commutator. Consequently, we find upper bounds for the minimal number of singular fibers in a Lefschetz fibration over the torus.

Categories: math.GT
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