On embedding circle-bundles in four-manifolds

Peter Ozsváth; Zoltán Szabó

doi:10.4310/mrl.2000.v7.n6.a1

On embedding circle-bundles in four-manifolds

Peter Ozsváth, Zoltán Szabó

Mathematics

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

8 Scopus citations

Abstract

In this paper, we demonstrate an obstruction to finding certain splittings of four-manifolds along sufficiently twisted circle bundles over Riemann surfaces, arising from Seiberg-Witten theory. These obstructions are used to show a non-splitting result for algebraic surfaces of general type.

Original language	English (US)
Pages (from-to)	657-669
Number of pages	13
Journal	Mathematical Research Letters
Volume	7
Issue number	5-6
DOIs	https://doi.org/10.4310/mrl.2000.v7.n6.a1
State	Published - 2000

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4310/mrl.2000.v7.n6.a1

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title = "On embedding circle-bundles in four-manifolds",

abstract = "In this paper, we demonstrate an obstruction to finding certain splittings of four-manifolds along sufficiently twisted circle bundles over Riemann surfaces, arising from Seiberg-Witten theory. These obstructions are used to show a non-splitting result for algebraic surfaces of general type.",

author = "Peter Ozsv{\'a}th and Zolt{\'a}n Szab{\'o}",

year = "2000",

doi = "10.4310/mrl.2000.v7.n6.a1",

language = "English (US)",

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AU - Szabó, Zoltán

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AB - In this paper, we demonstrate an obstruction to finding certain splittings of four-manifolds along sufficiently twisted circle bundles over Riemann surfaces, arising from Seiberg-Witten theory. These obstructions are used to show a non-splitting result for algebraic surfaces of general type.

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U2 - 10.4310/mrl.2000.v7.n6.a1

DO - 10.4310/mrl.2000.v7.n6.a1

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JO - Mathematical Research Letters

JF - Mathematical Research Letters

IS - 5-6

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On embedding circle-bundles in four-manifolds

Abstract

All Science Journal Classification (ASJC) codes

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