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arXiv:math/0109011 [math.GT]AbstractReferencesReviewsResources

Lefschetz fibrations with unbounded Euler class

Thilo Kuessner

Published 2001-09-03, updated 2003-03-19Version 4

We investigate the bounded cohomology of Lefschetz fibrations. If a Lefschetz fibration has regular fiber of genus at least 2 and it has at least two distinct vanishing cycles, we show that its Euler class is not bounded. As a consequence, we exclude the existence of negatively curved metrics on Lefschetz fibrations with more than one singular fiber.

Comments: 8 pages, submitted to NYJM
Categories: math.GT, math.AT, math.SG
Subjects: 57N65
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