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On some rational fibrations with nonvanishing Massey products over homogeneous spaces

Tralle, Alexei — 1994

Proceedings of the Winter School "Geometry and Physics"

The main result of this brief note asserts, incorrectly, that there exists a rational fibration S 2 E P 3 whose total space admits nonzero Massey products. The methods used would be appropriate for showing results of this kind, if the circumstances were to allow for it. Unfortunately the author makes a simple, but nonetheless fatal, computational error in his calculation that ostensibly shows the existence of a nonzero Massey product (p. 249, 1.13: a b D ( x 2 y ) ) . In fact, for any rational fibration S 2 E P 3 the total space...

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