Basak, Biplab and Sarkar, Soumen
(2015)
*Equilibrium and equivariant triangulations of some small covers with minimum number of vertices.*
In: JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 30
(1).
pp. 29-50.

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## Abstract

Small covers were introduced by Davis and Januszkiewicz in 1991. We introduce the notion of equilibrium triangulations for small covers. We study equilibrium and vertex minimal 4-equivariant triangulations of 2-dimensional small covers. We discuss vertex minimal equilibrium triangulations of RP3#RP3, S-1 x RP2 and a nontrivial S-1 bundle over RP2. We construct some nice equilibrium triangulations of the real projective space RPn with 2(n) + n 1 vertices. The main tool is the theory of small covers.

Item Type: | Journal Article |
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Additional Information: | biplab10@math.iisc.ernet.in RAMANUJAN MATHEMATICAL SOC, C/O MNG ED, UNIV MYSORE, DEPT MATHEMATICS, MYSORE, 570 006, INDIA |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Depositing User: | Id for Latest eprints |

Date Deposited: | 24 Apr 2015 05:55 |

Last Modified: | 24 Apr 2015 05:55 |

URI: | http://eprints.iisc.ac.in/id/eprint/51383 |

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