Circle-sum and minimal genus surfaces in ruled 4-manifolds
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- by Bang-He Li and Tian-Jun Li PDF
- Proc. Amer. Math. Soc. 135 (2007), 3745-3753 Request permission
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 $S^2$ bundles over surfaces. We also treat the case of blow-ups.References
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Additional Information
- Bang-He Li
- Affiliation: Key Laboratory of Mathematical Mechanization, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, China
- Email: Libh@amss.ac.cn
- Tian-Jun Li
- Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
- Email: tjli@math.umn.edu
- Received by editor(s): August 3, 2006
- Published electronically: June 21, 2007
- Additional Notes: The first author was supported in part by 973 project (2004CB318000).
The second author was supported in part by NSF and the McKnight Foundation - Communicated by: Daniel Ruberman
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3745-3753
- MSC (2000): Primary 57R40, 57R57; Secondary 57R17
- DOI: https://doi.org/10.1090/S0002-9939-07-08954-X
- MathSciNet review: 2336591