Invariants of knots, surfaces in R3, and foliations
โ Scribed by L. P. Plakhta
- Publisher
- Springer
- Year
- 2007
- Tongue
- English
- Weight
- 182 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0041-5995
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๐ SIMILAR VOLUMES
State-sum invariants for knotted curves and surfaces using quandle cohomology were introduced by Laurel Langford and the authors (Quandle cohomology and state-sum invariants of knotted curves and surfaces, preprint). In this paper we present methods to compute the invariants and sample computations.
We exhibit new invariants of the contact structure E(a), the contact flow F, and the transverse symplectic geometry of a contact manifold (M, a). The invariant of contact structures generalizes to transversally oriented foliations. We focus on the particular cases of orientations of smooth manifolds