Explicit PL self-knottings and the structure of PL homotopy complex projective spaces
Explicit PL self-knottings and the structure of PL homotopy complex projective spaces
We show that certain piecewise-linear homotopy complex projective spaces may be described as a union of smooth manifolds glued along their common boundaries.These boundaries are sphere bundles and the glueing homeomorphisms are piecewise-linear self-knottings on these bundles.Furthermore, we describe these self-knottings very explicitly and obtain information on the groups of …