Pinwheels and nullhomologous surgery on 4-manifolds with b^+ = 1

Autor: Fintushel, Ronald, Stern, Ronald J.
Rok vydání: 2010
Předmět:
Zdroj: Algebr. Geom. Topol. 11 (2011) 1649-1699
Druh dokumentu: Working Paper
DOI: 10.2140/agt.2011.11.1649
Popis: We present a method for finding embedded nullhomologous tori in standard 4-manifolds which can be utilized to change their smooth structure. As an application, we show how to obtain infinite families of simply connected smooth 4-manifolds with b^+ = 1 and b^- = 2,...,7, via surgery on nullhomologous tori embedded in the standard manifolds CP^2 # k (-CP^2), k=2,...,7.
Comment: Final version. To appear in AGT
Databáze: arXiv