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Perturbations of the metric in Seiberg-Witten equations

Luca Scala (2011)

Annales de l’institut Fourier

Let M a compact connected oriented 4-manifold. We study the space Ξ of Spin c -structures of fixed fundamental class, as an infinite dimensional principal bundle on the manifold of riemannian metrics on M . In order to study perturbations of the metric in Seiberg-Witten equations, we study the transversality of universal equations, parametrized with all Spin c -structures  Ξ . We prove that, on a complex Kähler surface, for an hermitian metric h sufficiently close to the original Kähler metric, the moduli space...

Perturbing plane cruve singularities.

Eduardo Casas-Alvero, Rosa Peraire (2003)

Revista Matemática Iberoamericana

We describe the singularity of all but finitely-many germs in a pencil generated by two germs of plane curve sharing no tangent.

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