Circle-sum and minimal genus surfaces in ruled 4-manifolds

Bang He Li; Tian Jun Li

doi:10.1090/S0002-9939-07-08954-X

Circle-sum and minimal genus surfaces in ruled 4-manifolds

Bang He Li, Tian Jun Li

School of Mathematics

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

4 Scopus citations

Abstract

We describe a circle-sum construction of smoothly embedded surface in a smooth 4-manifold. We apply this construction to give a simpler solution of the minimal genus problem for nontrivial S² bundles over surfaces. We also treat the case of blow-ups.

Original language	English (US)
Pages (from-to)	3745-3753
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	135
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-07-08954-X
State	Published - Nov 2007

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title = "Circle-sum and minimal genus surfaces in ruled 4-manifolds",

abstract = "We describe a circle-sum construction of smoothly embedded surface in a smooth 4-manifold. We apply this construction to give a simpler solution of the minimal genus problem for nontrivial S2 bundles over surfaces. We also treat the case of blow-ups.",

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AU - Li, Tian Jun

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AB - We describe a circle-sum construction of smoothly embedded surface in a smooth 4-manifold. We apply this construction to give a simpler solution of the minimal genus problem for nontrivial S2 bundles over surfaces. We also treat the case of blow-ups.

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Circle-sum and minimal genus surfaces in ruled 4-manifolds

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