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Examples of rational homotopy types of blow-ups
Authors:Pascal Lambrechts   Don Stanley
Affiliation:Institut Mathématique, 2, chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgium ; Department of Mathematics and Statistics, University of Regina, College West 307.14, Regina, Saskatchewan, Canada S4S 0A2
Abstract:We give an example of two homotopic embeddings $j_0,j_1colon Vhookrightarrow W$ of manifolds with isomorphic complex normal bundles but such that the blow-ups of $W$ along $j_0$ and along $j_1$ have different rational homotopy types.

Keywords:Rational homotopy theory   blow-up.
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