2004/12/01 by Selman Akbulut, Akbulut, Selman, Sema Salur +1
Mathematics · #53C29 #53C38 #57R57 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #math.DG #math.GT #msc:53C29 #msc:53C38 #msc:57R57
paper · pdf · doi:10.48550/arxiv.math/0412032
16 pages, 2 figures, revised version
arxiv created 2005/05/02 · arxiv updated 2009/12/01
We study deformations of associative submanifolds Y3⊂ M7 of a G2 manifold M7. We show that the deformation space can be perturbed to be smooth, and it can be made compact and zero dimensional by constraining it with an additional equation. This allows us to associate local invariants to associative submanifolds of M. The local equations at each associative Y are restrictions of a global equation on a certain associated Grassmann bundle over M.