Anar Akhmedov
Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures.
Fri, 09/11/2009 - 19:12 — SomNambulAuthors: Anar Akhmedov, B. Doug Park
Subjects: Geometric Topology
AbstractLet $M$ be $\CP#2\CPb$, $3\CP#4\CPb$ or $(2n-1)\CP#2n\CPb$ for any integer
$n\geq 3$.We construct an irreducible symplectic 4-manifold homeomorphic to $M$ and
also an infinite family of pairwise non-diffeomorphic irreducible
non-symplectic 4-manifolds homeomorphic to $M$. We also construct such exotic
smooth structures when $M$ is $\CP#4\CPb$ or $3\CP# k \CPb$ for $k=6,8,10$.Exotic Smooth Structures on Small 4-Manifolds with Odd Signatures.
Fri, 09/11/2009 - 19:12 — SomNambulAuthors: Anar Akhmedov, B. Doug Park
Subjects: Geometric Topology
AbstractLet $M$ be $\CP#2\CPb$, $3\CP#4\CPb$ or $(2n-1)\CP#2n\CPb$ for any integer
$n\geq 3$.We construct an irreducible symplectic 4-manifold homeomorphic to $M$ and
also an infinite family of pairwise non-diffeomorphic irreducible
non-symplectic 4-manifolds homeomorphic to $M$. We also construct such exotic
smooth structures when $M$ is $\CP#4\CPb$ or $3\CP# k \CPb$ for $k=6,8,10$.
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