We construct a version of rational Symplectic Field Theory for pairs $(X, L)$ , where $X$ is an exact symplectic manifold, where $L \subset X$ is an exact Lagrangian submanifold with components subdivided into $k$ subsets, and where both $X$ and $L$ have cylindrical ends. The theory associates to $(X, L)$ a $ℤ$ -graded chain complex of vector spaces over $ℤ_{2}$ , filtered with $k$ filtration levels. The corresponding $k$ -level spectral sequence is invariant under deformations of $(X, L)$ and has the following property: if $(X, L)$ is obtained by joining a...

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Regular homotopy and total curvature I: Circle immersions into surfaces.

Regular homotopy and total curvature. II: Sphere immersions into 3-space.

Framed holonomic knots.

Rational symplectic field theory over ℤ 2 for exact Lagrangian cobordisms

Rational symplectic field theory over $ℤ^{2}$ for exact Lagrangian cobordisms