On $\ZZ_2^n$-equivariant triangulation of $\RR P^n$

Fuente: arXiv
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Autore principale: Sarkar, Soumen
Natura: Preprint
Pubblicazione: 2013
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author Sarkar, Soumen
author_facet Sarkar, Soumen
contents We study several properties of $\ZZ_2^n$-equivariant triangulations of $\RR P^n$. We show that a $\ZZ_2^n$-equivariant triangulation of $\RR P^n$ induces a triangulated subdivision of the orbit space $\bigtriangleup^n$. We show that any vertex minimum $\ZZ_2^3$-equivariant triangulation of $\RR P^3$ contains $11$ vertices.
format Preprint
id arxiv_https___arxiv_org_abs_1306_2851
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle On $\ZZ_2^n$-equivariant triangulation of $\RR P^n$
Sarkar, Soumen
Geometric Topology
57Q15, 32B25
We study several properties of $\ZZ_2^n$-equivariant triangulations of $\RR P^n$. We show that a $\ZZ_2^n$-equivariant triangulation of $\RR P^n$ induces a triangulated subdivision of the orbit space $\bigtriangleup^n$. We show that any vertex minimum $\ZZ_2^3$-equivariant triangulation of $\RR P^3$ contains $11$ vertices.
title On $\ZZ_2^n$-equivariant triangulation of $\RR P^n$
topic Geometric Topology
57Q15, 32B25
url https://arxiv.org/abs/1306.2851