Research and Innovation Articles
Equivariant vector bundles on compacthomogeneous spaces: Retracted Article. The editorial board of Revista Integración has decided to retract the following article: González Díaz F.R., Fibrados vectoriales equivariantes en espacios homogéneos compactos, Rev. Integr. temas mat. 29 (2011), No. 1, 55-58, because it is mainly a translation of the introduction and Section 2 of the article of Rieffel M. A., A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces. Contemp. Math., 449 (2008), 399-415. Bucaramanga, september 25, 2020.
Published 2011-01-31
Keywords
- equivariant vector bundle,
- representation,
- projective A-module
How to Cite
González Díaz, F. R. (2011). Equivariant vector bundles on compacthomogeneous spaces: Retracted Article. The editorial board of Revista Integración has decided to retract the following article: González Díaz F.R., Fibrados vectoriales equivariantes en espacios homogéneos compactos, Rev. Integr. temas mat. 29 (2011), No. 1, 55-58, because it is mainly a translation of the introduction and Section 2 of the article of Rieffel M. A., A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces. Contemp. Math., 449 (2008), 399-415. Bucaramanga, september 25, 2020. Revista Integración, Temas De matemáticas, 29(1), 55–58. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/2429
Abstract
Algebraic results are developed concerning to the equivariant vector bundles on some compact spaces, using global constructions and arguments.In a sense the approach is algebraic.
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References
[1] Bröcker T. and tom Dieck T., Representations of compact Lie groups, Graduate Texts in Mathematics, 98, Springer-Verlag, New York, 1995.
[2] Lance E.C., Hilbert C∗-modules, London Mathematical Society Lecture Note Series, vol. 210, Cambridge University Press, Cambridge, 1995.
[3] Rieffel M.A., “Vector bundles and Gromov-Hausdorff distance”, J. K-Theory 5 (2010), no. 1, 39–103.
[4] Rieffel M.A., “A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces”, Contemp. Math., 449, (2008) 399–415.
[2] Lance E.C., Hilbert C∗-modules, London Mathematical Society Lecture Note Series, vol. 210, Cambridge University Press, Cambridge, 1995.
[3] Rieffel M.A., “Vector bundles and Gromov-Hausdorff distance”, J. K-Theory 5 (2010), no. 1, 39–103.
[4] Rieffel M.A., “A global view of equivariant vector bundles and Dirac operators on some compact homogeneous spaces”, Contemp. Math., 449, (2008) 399–415.