Bagchi, Bhaskar and Datta, Basudeb
(2012)
*A Triangulation of CP3 as Symmetric Cube of S-2.*
In: DISCRETE & COMPUTATIONAL GEOMETRY, 48
(2).
pp. 310-329.

PDF
dis_com_geo_48-2_310-329_2012.pdf - Published Version Restricted to Registered users only Download (700kB) | Request a copy |

## Abstract

The symmetric group acts on the Cartesian product (S (2)) (d) by coordinate permutation, and the quotient space is homeomorphic to the complex projective space a'',P (d) . We used the case d=2 of this fact to construct a 10-vertex triangulation of a'',P (2) earlier. In this paper, we have constructed a 124-vertex simplicial subdivision of the 64-vertex standard cellulation of (S (2))(3), such that the -action on this cellulation naturally extends to an action on . Further, the -action on is ``good'', so that the quotient simplicial complex is a 30-vertex triangulation of a'',P (3). In other words, we have constructed a simplicial realization of the branched covering (S (2))(3)-> a'',P (3).

Item Type: | Journal Article |
---|---|

Additional Information: | Copy right for this article belongs to Springer Science+Business Media, LLC |

Keywords: | Triangulated manifolds;Complex projective space;Symmetric power;Product of 2-spheres |

Department/Centre: | Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003) Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Francis Jayakanth |

Date Deposited: | 21 Aug 2012 03:46 |

Last Modified: | 21 Aug 2012 03:46 |

URI: | http://eprints.iisc.ac.in/id/eprint/44954 |

### Actions (login required)

View Item |