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A Triangulation of CP3 as Symmetric Cube of S-2

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.

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Official URL: http://dx.doi.org/10.1007/s00454-012-9436-2

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
Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 21 Aug 2012 03:46
Last Modified: 21 Aug 2012 03:46
URI: http://eprints.iisc.ernet.in/id/eprint/44954

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