Title:framed bordism and lagrangian embedding of exotic spheres

Lecturer:Wang Feng

Time:2011.04.01,Friday

Place: Resource Building 1328

Abstract: In M. Abouzaid's paper, there holds that every homotopy sphere which embeds as a lagrangian in T*S^(4n+1) must bound a compact parallelisable manifold. The manifold is obtained from the moduli space of pseudo-holomorphic disks by some additional operations,i.e. compactification and capping off the other boundary components. The target of the modulli space here is the product of a ball in C^n with projective space. And we use the gluing method to analyse the moduli space to get good manifolds. After that, the parallelisability is from the homotopy theory.