Action of Free Commuting Involutions on Closed Two-Dimensional Manifolds

被引：0
|
作者：
Neretina, T. Yu [1 ]
机构：
[1] Lomonosov Moscow State Univ, Fac Mech & Math, Chair Higher Geometry & Topol, Moscow 119992, Russia
来源：
MOSCOW UNIVERSITY MATHEMATICS BULLETIN | 2021年 / 76卷 / 04期
关键词：
real moment-angle complex; free commuting involutions;
D O I：
10.3103/S0027132221040069
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the function f(g) which asigns to an orientable surface M of genus g the maximal number of free commuting involutions on M. It is proved that the surface of minimum genus g for which f(g) = n is the moment-angle complex R-K, where K is the boundary of an (n + 2)-gon. Its genus is given by the formula g = 1 + 2(n-1)(n - 2).
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页码：172 / 176
页数：5
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