Premium
Small Exotic 4‐Manifolds with b 2 + = 3
Author(s) -
Stipsicz András I.,
Szabó Zoltán
Publication year - 2006
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/s0024609306018406
Subject(s) - mathematics , pairwise comparison , pure mathematics , homology (biology) , mathematics subject classification , construct (python library) , biology , computer science , amino acid , statistics , biochemistry , programming language
We construct an infinite family of simply connected, pairwise nondiffeomorphic 4‐manifolds, all homeomorphic to 3 CP 2 # 9CP 2 ¯ . Similar ideas provide examples of 4‐manifolds withb 2 + = 3 ,b 2 − = 8 , vanishing first homology and nontrivial Seiberg–Witten invariants. 2000 Mathematics Subject Classification 57R55, 57R57.