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Frobenius algebras and skein modules of surfaces in 3-manifolds

Uwe Kaiser (2009)

Banach Center Publications

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...

Homotopie régulière inactive et engouffrement symplectique

François Laudenbach (1986)

Annales de l'institut Fourier

Une homotopie régulière ϕ t : Δ ( M , ω ) , t [ 0 , 1 ] , dans une variété symplectique est dite inactive si en chaque point le déplacement infinitésimal est ω -orthogonal à l’espace tangent de l’objet déplacé. Si Δ est un polyèdre de M 2 n de dimension < n et si U est un ouvert de M , toute homotopie de Δ M jusqu’à Δ U est déformable en une homotopie régulière inactive. On donne une application à l’engouffrement en géométrie symplectique.

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