On the number of vanishing cycles in Lefschetz fibrations

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

We prove a lower bound for the number of (nonseparating) vanishing cycles of a genus-g Lefschetz fibration. We also show that a fiber sum X#fX for a Lefschetz fibration X → S2 is a minimal symplectic 4-manifold.

Original languageEnglish
Pages (from-to)449-456
Number of pages8
JournalMathematical Research Letters
Volume6
Issue number3-4
Publication statusPublished - 1999

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Lefschetz Fibration
Vanishing Cycles
4-manifold
Genus
Fiber
Lower bound

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On the number of vanishing cycles in Lefschetz fibrations. / Stipsicz, A.

In: Mathematical Research Letters, Vol. 6, No. 3-4, 1999, p. 449-456.

Research output: Contribution to journalArticle

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