Examples of rational homotopy types of blow-ups
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- by Pascal Lambrechts and Don Stanley PDF
- Proc. Amer. Math. Soc. 133 (2005), 3713-3719 Request permission
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.References
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Additional Information
- Pascal Lambrechts
- Affiliation: Institut Mathématique, 2, chemin du Cyclotron, B-1348 Louvain-la-Neuve, Belgium
- MR Author ID: 636401
- 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
- MR Author ID: 648490
- Email: stanley@math.uregina.ca
- 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
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 133 (2005), 3713-3719
- MSC (2000): Primary 55P62, 14F35, 57R40
- DOI: https://doi.org/10.1090/S0002-9939-05-07750-6
- MathSciNet review: 2163611