8 citations · 31 across the 7 of their papers we have counts for
7 papers
Exotic smooth structures on
Anar Akhmedov, B. Doug Park
We construct an infinite family of mutually non-diffeomorphic irreducible smooth structures on the topological 4-manifold .
Smooth and weak synthesis of the anti-diagonal in Fourier algebras of Lie groups
B. Doug Park, Ebrahim Samei
Let be a Lie group of dimension , and let be the Fourier algebra of . We show that the anti-diagonal is both a…
Homologous Non-isotopic Symplectic Surfaces of Higher Genus
B. Doug Park, Mainak Poddar, Stefano Vidussi
We construct an infinite family of homologous, non-isotopic, symplectic surfaces of any genus greater than one in a certain class of closed, simply connected, symplectic four-manif…
Symplectic tori in rational elliptic surfaces
Tolga Etgü, B. Doug Park
Let E(1)_p denote the rational elliptic surface with a single multiple fiber f_p of multiplicity p. We construct an infinite family of homologous non-isotopic symplectic tori repre…
Homologous Non-isotopic Symplectic Tori in Homotopy Rational Elliptic Surfaces
Tolga Etgü, B. Doug Park
Let E(1)_K denote the closed 4-manifold that is homotopy equivalent (hence homeomorphic) to the rational elliptic surface E(1) and is obtained by performing Fintushel-Stern knot su…
Homologous non-isotopic symplectic tori in a K3-surface
Tolga Etgü, B. Doug Park
For each member of an infinite family of homology classes in the K3-surface E(2), we construct infinitely many non-isotopic symplectic tori representing this homology class. This f…