12 citations · 68 across the 25 of their papers we have counts for
4 papers · 1 filter
Associative submanifolds of a G2 manifold
Selman Akbulut, Sema Salur
We study deformations of associative submanifolds of a manifold . We show that the deformation space can be perturbed to be smooth, and it can be made c…
Asymptotically Cylindrical Ricci-Flat Manifolds
Sema Salur
Asymptotically cylindrical Ricci-flat manifolds play a key role in constructing Topological Quantum Field Theories. It is particularly important to understand their behavior at the…
Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary
Dominic Joyce, Sema Salur
McLean proved that the moduli space of coassociative deformations of a compact coassociative 4-submanifold C in a G_2-manifold (M,phi,g) is a smooth manifold of dimension equal to…
Calibrated Manifolds and Gauge Theory
Selman Akbulut, Sema Salur
By a theorem of Mclean, the deformation space of an associative submanifold Y of an integrable G_2 manifold (M,ϕ) can be identified with the kernel of a Dirac operator D:Ω^{0}(ν) -…