On \ZZ₂ⁿ-equivariant triangulation of \RR Pⁿ

2013/06/12 by Sarkar, Soumen
#32B25 #57Q15 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1306.2851

Abstract

We study several properties of \ZZ₂ⁿ-equivariant triangulations of \RR Pⁿ. We show that a \ZZ₂ⁿ-equivariant triangulation of \RR Pⁿ induces a triangulated subdivision of the orbit space \bigtriangleupⁿ. We show that any vertex minimum \ZZ₂³-equivariant triangulation of \RR P³ contains 11 vertices.

Related

• Triangulations of \mathbbRPⁿ with few vertices
• Some \ZZ₃ⁿ-equivariant triangulations of \CPⁿ
• A subexponential size triangulation of ℝPⁿ
• Equilateral convex triangulations of \mathbb R P² with three conical points of equal defect
• A new family of triangulations of ℝP^d