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A characterization of virtually embedded subsurfaces in 3-manifolds
- Publication Year :
- 2017
- Publisher :
- American Mathematical Society, 2017.
-
Abstract
- The paper introduces the spirality character of the almost fiber part for a closed essentially immersed subsurface of a closed orientable aspherical 3-manifold, which generalizes an invariant due to Rubinstein and Wang. The subsurface is virtually embedded if and only if the almost fiber part is aspiral, and in this case, the subsurface is virtually a leaf of a taut foliation. Besides other consequences, examples are exhibited that non-geometric 3-manifolds with no Seifert fibered pieces may contain essentially immersed but not virtually embedded closed subsurfaces.<br />Comment: 28 pages. Errors of previous Proposition 3.1 and Formula 7.2 corrected
- Subjects :
- Applied Mathematics
General Mathematics
57M05 (Primary)
010102 general mathematics
Taut foliation
Fibered knot
Geometry
Geometric Topology (math.GT)
16. Peace & justice
01 natural sciences
Mathematics::Geometric Topology
Physics::Geophysics
Mathematics - Geometric Topology
0103 physical sciences
Suspension flow
FOS: Mathematics
010307 mathematical physics
Mathematics::Differential Geometry
0101 mathematics
Invariant (mathematics)
Mathematics::Symplectic Geometry
Mathematics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....e62e72aa9dc5f9ebfc389ae90fe530f0