Geometry Webinar

Enumeration of rational contact curves via torus actions

Sala 6.2.33, Ciências ULisboa (com transmissão em direto via Zoom)

Por Giosuè Muratore (CMAFcIO).

Complex projective spaces of odd dimension have a unique contact structure. So, in these spaces we have contact (Legendrian) rational curves. We are interested in enumeration of such curves. We prove that some Gromov-Witten numbers associated with rational contact curves in projective space with arbitrary incidence conditions are enumerative. Also, we use the Bott formula on the Kontsevich space to find the exact value of those numbers.


Transmissão em direto via Zoom (Meeting ID: 799 297 2871).

15h00
CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional