Line bundles with c 1 L 2 = 0 . A six dimensional example

Stefano De Michelis

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1991)

  • Volume: 2, Issue: 3, page 225-227
  • ISSN: 1120-6330

Abstract

top
We exhibit a six dimensional manifold with a line bundle on it which is not the pullback of a bundle on S 2 .

How to cite

top

De 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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.