Talk page

Title:
Mathematics of fivebranes on smooth 4-manifolds

Speaker:
Sergei Gukov

Abstract:
Compactifying fivebranes on coassociative 4-manifolds leads to a class of 2d theories (vertex operator algebras), whose spectrum captures the information about smooth structures. In particular, it contains information about Donaldson invariants and the hope is that it can be strictly stronger. In this talk I will try to focus on mathematical aspects of this problem, and in particular write a new set of flow equations somewhat similar to Ricci-flow equations. From the viewpoint of G2 geometry, one can think of the invariants in this talk as "local" invariants, associated with a coassociative 4-cycle (no pun intended).

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=2779

Workshop:
Simons- Simons Collaboration on Special Holonomy Workshop