Lefschetz fibrations with small slope

Naoyuki Monden

doi:10.2140/pjm.2014.267.243

Lefschetz fibrations with small slope

Naoyuki Monden

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We construct Lefschetz fibrations over S² which do not satisfy the slope inequality. This disproves a conjecture of Hain.

Original language	English
Pages (from-to)	243-256
Number of pages	14
Journal	Pacific Journal of Mathematics
Volume	267
Issue number	1
DOIs	https://doi.org/10.2140/pjm.2014.267.243
Publication status	Published - 2014
Externally published	Yes

Keywords

Lefschetz fibration
Mapping class group
Slope

ASJC Scopus subject areas

Mathematics(all)

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10.2140/pjm.2014.267.243

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title = "Lefschetz fibrations with small slope",

abstract = "We construct Lefschetz fibrations over S2 which do not satisfy the slope inequality. This disproves a conjecture of Hain.",

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author = "Naoyuki Monden",

year = "2014",

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volume = "267",

pages = "243--256",

journal = "Pacific Journal of Mathematics",

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publisher = "University of California, Berkeley",

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JF - Pacific Journal of Mathematics

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Lefschetz fibrations with small slope

Abstract

Keywords

ASJC Scopus subject areas

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