Some formulas for the number of gluings

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.

References in corpus (1)

• Linear chord diagrams on two intervals

Cited by in corpus (2)

• Enumeration of chord diagrams on many intervals and their non-orientable analogs
• On gluing a surface of genus $g$ from two and three polygons