Geography of simply connected spin symplectic 4-manifolds

• Autores: Anar Akhmedov, B. Doug Park
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 2-3, 2010, págs. 483-492
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • We present an algorithm that produces new families of closed simply connected spin symplectic\/ $4$-manifolds with nonnegative signature that are interesting with respect to the symplectic geography problem. In particular, for each odd integer $q$\/ satisfying $q\geq 275$, we construct infinitely many pairwise nondiffeomorphic irreducible smooth structures on the topological\/ $4$-manifold $q(S^2\times S^2)$, the connected sum of $q$\/ copies of $S^2\times S^2$.