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Examples of rational homotopy types of blow-ups

Authors: Pascal Lambrechts and Don Stanley
Journal: Proc. Amer. Math. Soc. 133 (2005), 3713-3719
MSC (2000): Primary 55P62, 14F35, 57R40
Published electronically: July 13, 2005
MathSciNet review: 2163611
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Abstract: We give an example of two homotopic embeddings $j_0,j_1\colon V\hookrightarrow W$ 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.

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Additional Information

Pascal Lambrechts
Affiliation: Institut Mathématique, 2, chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgium

Don Stanley
Affiliation: Department of Mathematics and Statistics, University of Regina, College West 307.14, Regina, Saskatchewan, Canada S4S 0A2

Keywords: Rational homotopy theory, blow-up.
Received by editor(s): August 21, 2003
Received by editor(s) in revised form: February 20, 2004
Published electronically: July 13, 2005
Additional Notes: The first author is Chercheur Qualifié FNRS
Communicated by: Paul Goerss
Article copyright: © Copyright 2005 American Mathematical Society

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