The Gluing of a Surface of Genus g from Two and Three Polygons

Verfasser / Beitragende:
[A. Pastor]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 204/2(2015-01-01), 258-270
Format:
Artikel (online)
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024 7 0 |a 10.1007/s10958-014-2200-9  |2 doi 
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100 1 |a Pastor  |D A.  |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State Polytechnical University, St. Petersburg, Russia  |4 aut 
245 1 4 |a The Gluing of a Surface of Genus g from Two and Three Polygons  |h [Elektronische Daten]  |c [A. Pastor] 
520 3 |a In this paper, the number of ways for gluing together several polygons into a surface of genus g is investigated. An elementary proof of the formula for the generating function C g 2 z $$ {\mathrm{C}}_{\mathfrak{g}}^{\left[2\right]}(z) $$ of the number of gluings of a surface of genus g from two polygons is given. Moreover, a similar formula is proved for gluings of a surface of genus g from three polygons. As a consequence, a direct formula is obtained for the number of gluings of a torus from three polygons. Bibliography: 10 titles. 
540 |a Springer Science+Business Media New York, 2014 
773 0 |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 204/2(2015-01-01), 258-270  |x 1072-3374  |q 204:2<258  |1 2015  |2 204  |o 10958 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Pastor  |D A.  |u St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg State Polytechnical University, St. Petersburg, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 204/2(2015-01-01), 258-270  |x 1072-3374  |q 204:2<258  |1 2015  |2 204  |o 10958