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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
Email: lambrechts@math.ucl.ac.be

Don Stanley
Affiliation: Department of Mathematics and Statistics, University of Regina, College West 307.14, Regina, Saskatchewan, Canada S4S 0A2
Email: stanley@math.uregina.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-05-07750-6
PII: S 0002-9939(05)07750-6
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