The Gluing of a Surface of Genus g from Two and Three Polygons
Gespeichert in:
Verfasser / Beitragende:
[A. Pastor]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 204/2(2015-01-01), 258-270
Format:
Artikel (online)
Online Zugang:
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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 856 |E 40 |u https://doi.org/10.1007/s10958-014-2200-9 |q text/html |z Onlinezugriff via DOI | ||
| 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 | ||