course: Monopole fillable contact manifolds

speaker: Yann Rollin (MIT)

abstract: In the first lecture, I will decribe the Seiberg-Witten invariant introduced by Kronheimer and Mrowka for 4-manifold M with a contact boundary Y. In a second lecture I shall present my work with Tom Mrowka. If the Seiberg-Witten invariant is non-vanishing we say that the contact boundary is monopole fillable. Then, there is a strong interplay between the 3-dimensional contact geometry of Y and the 4-dimensional geometry of the filling. For example, we show that the Legendrian knots in Y are constrained by the Bennequin inequality.

timetable:
Thu 7 Oct, 11:15 - 12:15, Sala Conferenze Centro De Giorgi
Fri 8 Oct, 11:15 - 12:15, Sala Conferenze Centro De Giorgi
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