On Nash's 4-sphere and Property 2R

Authors : Motoo Tange

Pages : 360-374

Doi:10.3906/mat-1104-1

View : 15 | Download : 9

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :D. Nash defined a family of homotopy 4-spheres in [11]. Proving that his manifolds Sm,n,m',n' are all real S4, we show that they have handle decomposition with no 1-handles, two 2-handles and two 3-handles. The handle structures give new potential counterexamples to the Property 2R conjecture.
Keywords : Homotopy 4-spheres, Property 2R, handle calculus