Line bundles with . A six dimensional example
- Volume: 2, Issue: 3, page 225-227
- ISSN: 1120-6330
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topDe Michelis, Stefano. "Line bundles with \( c_{1} (L)^{2} = 0 \). A six dimensional example." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 2.3 (1991): 225-227. <http://eudml.org/doc/244209>.
@article{DeMichelis1991,
abstract = {We exhibit a six dimensional manifold with a line bundle on it which is not the pullback of a bundle on \( S^\{2\} \).},
author = {De Michelis, Stefano},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Surgery; Manifold; Line bundles; surgery; complex line bundle on an oriented -dimensional manifold; pull-back of a line bundle over },
language = {eng},
month = {9},
number = {3},
pages = {225-227},
publisher = {Accademia Nazionale dei Lincei},
title = {Line bundles with \( c\_\{1\} (L)^\{2\} = 0 \). A six dimensional example},
url = {http://eudml.org/doc/244209},
volume = {2},
year = {1991},
}
TY - JOUR
AU - De Michelis, Stefano
TI - Line bundles with \( c_{1} (L)^{2} = 0 \). A six dimensional example
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1991/9//
PB - Accademia Nazionale dei Lincei
VL - 2
IS - 3
SP - 225
EP - 227
AB - We exhibit a six dimensional manifold with a line bundle on it which is not the pullback of a bundle on \( S^{2} \).
LA - eng
KW - Surgery; Manifold; Line bundles; surgery; complex line bundle on an oriented -dimensional manifold; pull-back of a line bundle over
UR - http://eudml.org/doc/244209
ER -
References
top- BROWDER, W., Surgery on simply connected manifolds. Springer Verlag, Berlin1972. Zbl0239.57016MR358813
- DE MICHELIS, S., Line bundles with . Higher order obstructions. Rend. Mat. Acc. Lincei, s. 9, vol. 2, 1991, 219-224. Zbl0764.57015MR1135425
- SULLIVAN, D., Smoothing homotopy equivalences. Thesis, Princeton University, 1965.
- WALL, C. T. C., Surgery on compact manifolds. Academic Press, 1970. Zbl0219.57024MR431216
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