Real algebraic variety structures on P. L. manifolds
Selman Akbulut, Henry Charles King · Bulletin of the American Mathematical Society · 1977
Let V = f~l(0) and U^.= g~~1(Q), where f (pc) and g(x) are polynomials.Let F(x, t) = f(x) 2 + (tg(x) -l) 2 , then F(y) = \y\ 2d F(y/\y\ 2 ) = 0, y = (A:, 0» d = degree F, gives the equations ofThis sketches the idea of the proofs of Theorem 1 and 2. Corollary 1 and 2 are true because elements of T 8 , 2r i0 bound spine manifolds (see [4]); and any exotic sphere 2 with fixed point free smooth involution r bounds the obvious spine manifold 2 x ƒ/(*, 0) ~ (r(x), 0).