Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality-Reference-Cited by-同舟云学术

Clustering of critical points in Lefschetz fibrations and the symplectic Szpiro inequality

Published:2003-04-24 Issue:8 Volume:355 Page:3217-3226
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Braungardt V.,Kotschick D.

Abstract

We prove upper bounds for the number of critical points in semi- stable symplectic Lefschetz fibrations. We also obtain a new lower bound for the number of nonseparating vanishing cycles in Lefschetz pencils and reprove the known lower bounds for the commutator lengths of Dehn twists.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2003-355-08/S0002-9947-03-03290-2/S0002-9947-03-03290-2.pdf

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