Home

About

Advanced Search

Browse by Discipline

Scientific Societies

E-print Alerts

Add E-prints

E-print Network
FAQHELPSITE MAPCONTACT US


  Advanced Search  

 
CAPPELL-SHANESON HOMOTOPY SPHERES ARE SELMAN AKBULUT
 

Summary: CAPPELL-SHANESON HOMOTOPY SPHERES ARE
STANDARD
SELMAN AKBULUT
Abstract. We show that an infinite sequence of homotopy 4-
spheres constructed by Cappell-Shaneson are all diffeomorphic to
S4
. This generalizes previous results of Akbulut-Kirby and Gompf.
0. Introduction
Thirty three years ago in [CS] Cappell and Shaneson defined a se-
quence of homotopy spheres m, m Z, as the 2-fold covers of ho-
motopy RP4
's, they constructed (which are known to be exotic when
m = 0 and m = 4). They asked whether m are S4
or exotic copies of
S4
. m is obtained first by taking the mapping torus of the punctured
3-torus T3
0 with the diffeomorphism induced by the following matrix
Am =

  

Source: Akbulut, Selman - Department of Mathematics, Michigan State University

 

Collections: Mathematics