Seminário de Geometria

Moduli for Legendrian Curves

Sala 6.2.33, FCUL, Lisboa

Por Marco Silva Mendes (FCUL).

Abstract: We construct moduli spaces for Legendrian curve singularities with a prescribed topological type. We focus on the case of Legendrian curves which are conormals of a plane curve with f with one Puiseux pair. This construction relies on the microlocal contact analogue of the Kodaira- Spencer map for plane curve singularities. Its Kernel is a Lie Algebra L acting over the base space T of a semiuniversal equisingular deformation of the conormal of f .This action is such that T / L is a classifying space for all singularities with the topological type of the conormal of f.

This seminar is supported by National Funding from FCT - Fundação para a Ciência e a Tecnologia, under the project: UID/MAT/04561/2013.

CMAF-CIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional