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For each (commutative) Frobenius algebra there is defined a skein module of surfaces embedded in a given 3-manifold and bounding a prescribed curve system in the boundary. The skein relations are local and generate the kernel of a certain natural extension of the corresponding topological quantum field theory. In particular the skein module of the 3-ball is isomorphic to the ground ring of the Frobenius algebra. We prove a presentation theorem for the skein module with generators incompressible...
Une homotopie régulière , , dans une variété symplectique est dite inactive si en chaque point le déplacement infinitésimal est -orthogonal à l’espace tangent de l’objet déplacé. Si est un polyèdre de de dimension et si est un ouvert de , toute homotopie de jusqu’à est déformable en une homotopie régulière inactive. On donne une application à l’engouffrement en géométrie symplectique.
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