A. V. Pastor, O. P. Rodionova, “Some formulas for the number of gluings”, Zap. Nauchn. Sem. POMI, 2012, Volume 406,Pages <nobr>117

This article is cited in 2 papers

Some formulas for the number of gluings

A. V. Pastor^a, O. P. Rodionova^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
^b ENAC (l'Ecole Nationale de l'Aviation civile), Toulouse, France

Abstract: In this paper the number of ways to glue a surface of genus $g$ has been investigated. We've proven formulas for the number of gluings sphere from three polygons and from two bicolored polygons. Moreover, we've given a new proofs on the formulas for the number of gluings sphere and torus from two polygons.

Key words and phrases: map, oriented surface, gluing.

UDC: 519.115.8+519.111.1

Received: 20.11.2012