Non‐Complex Symplectic 4‐Manifolds with     b  2  +   =  1 | Zendy

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Non‐Complex Symplectic 4‐Manifolds with b 2 + = 1

Author(s) -

Park Jongil

Publication year - 2004

Publication title -

bulletin of the london mathematical society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.396

H-Index - 48

eISSN - 1469-2120

pISSN - 0024-6093

DOI - 10.1112/s0024609303002893

Subject(s) - mathematics , symplectic geometry , pure mathematics , fibered knot , homotopy , knot (papermaking) , simply connected space , symplectic representation , symplectic manifold , chemical engineering , engineering

Simply connected closed symplectic 4‐manifolds withb 2 + = 1 and K 2 = 0 are investigated. As a result, it is confirmed that most of homotopy elliptic surfaces { E (1) k | K is a fibred knot in S 3 } constructed by R. Fintushel and R. Stern in Invent. Math. 134 (1998) 363–400 are simply connected closed minimal symplectic 4‐manifolds that do not admit a complex structure. 2000 Mathematics Subject Classification 57R17, 57R57 (primary), 14J26 (secondary).

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