Abstract
In this paper we correct a previous paper (Oertel and Świ a̧ tkowski, Ann Global Anal Geom 34(2):135–152, 2008), which gives sufficient conditions for a branched surface embedded in a closed 3-manifold to carry a “contamination.” Such a contamination, in special cases, represents a contact structure, and every contact structure is represented by a contamination. The correction is of a technical nature; the ideas in the previous paper remain valid. We also present a generalization of the carrying criterion to branched surfaces with boundary.
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Oertel, U., \(\acute{\text{ S}}\)wia̧tkowski, J.: A contamination carrying criterion for branched surfaces. Ann. Global Anal. Geom. 34(2), 135–152 (2008)
Oertel, U., \(\acute{\text{ S}}\)wia̧tkowski, J.: Contact structures, \(\sigma \)-confoliations and contaminations in 3-manifolds. Commun. Contemp. Math. 11(2), 201–264 (2009)
Acknowledgments
J. Świ a̧ tkowski supported by the Polish Ministry of Science and Higher Education (MNiSW), Grant N201 541738.
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Oertel, U., Świa̧tkowski, J. Correction: “A contamination carrying criterion for branched surfaces”. Ann Glob Anal Geom 44, 137–150 (2013). https://doi.org/10.1007/s10455-012-9360-y
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DOI: https://doi.org/10.1007/s10455-012-9360-y