Secondary characteristic classes for the isotropic Grassmannian
Following S. Bauer and M. Furuta we investigate finite dimensional approximations of a monopole map in the case b 1 = 0. We define a certain topological degree which is exactly equal to the Seiberg-Witten invariant. Using homotopy invariance of the topological degree a simple proof of the wall crossing formula is derived.
We give an introduction into and exposition of Seiberg-Witten theory.
We define sewn elliptic cohomologies for vertex algebras by sewing procedure for coboundary operators.
We obtain a complete list of simple framed curve singularities in ℂ² and ℂ³ up to the framed equivalence. We also find all the adjacencies between simple framed curves.