41 citations · 101 across the 5 of their papers we have counts for
5 papers
Exotic smooth structures on 4-manifolds with zero signature
Anar Akhmedov, B. Doug Park
For every integer , we construct infinite families of mutually nondiffeomorphic irreducible smooth structures on the topological -manifolds and…
Simply connected minimal symplectic 4-manifolds with signature less than --1
Anar Akhmedov, Scott Baldridge, R. Inanc Baykur +2
For each pair of integers satisfying , , and , with four exceptions, we construct a minimal, simply connected symplectic 4-manifo…
Constructing infinitely many smooth structures on small 4-manifolds
Anar Akhmedov, R. Inanc Baykur, B. Doug Park
The purpose of this article is twofold. First we outline a general construction scheme for producing simply-connected minimal symplectic 4-manifolds with small Euler characteristic…
Exotic Smooth Structures on Small 4-Manifolds
Anar Akhmedov, B. Doug Park
Let M be either CP^2#3CP^2bar or 3CP^2#5CP^2bar. We construct the first example of a simply-connected symplectic 4-manifold that is homeomorphic but not diffeomorphic to M.
The Chen-Ruan Cohomology Ring of Mirror Quintic
B. Doug Park, Mainak Poddar
We compute the Chen-Ruan orbifold cohomology ring of the Batyrev mirror orbifold of a smooth quintic hypersurface in 4-dimensional projective space. We identify the obstruction bun…