2000/08/22 by Jongil Park, Jong‐Il Park, Park, Jongil
Mathematics · #57R55 #57R57 (Primary) 57N13 (Secondary) #Advanced Operator Algebra Research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57N13 #msc:57R55 #msc:57R57
paper · pdf · doi:10.48550/arxiv.math/0008161
This is a revised version. AMS-LaTeX file, 13 pages with 2 eps-figures. Minor errors and grammatical problems are corrected. To appear in Mathematische Zeitschrift
openalex publication_date 2000/08/22 · arxiv created 2001/08/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we construct a family of simply connected, spin, non-complex, symplectic 4-manifolds which cover all but finitely many allowed lattice points (χ, c) lying in 0 ≤ c ≤ 8.76χ. Furthermore, as a corollary, we prove that there exist infinitely many exotic smooth structures on (2n+1)(S2 × S2) for all n large enough.