Multispecies Weighted Hurwitz Numbers
The construction of hypergeometric 2D Toda τ-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted Hurwitz numbers, as weighted enumerations of branched coverings of the Riemann sphe...
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| Дата: | 2015 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147164 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Multispecies Weighted Hurwitz Numbers / J. Harnad // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 30 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147164 |
|---|---|
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dspace |
| spelling |
irk-123456789-1471642019-02-14T01:24:57Z Multispecies Weighted Hurwitz Numbers Harnad, J. The construction of hypergeometric 2D Toda τ-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted Hurwitz numbers, as weighted enumerations of branched coverings of the Riemann sphere, and their combinatorial significance in terms of weighted paths in the Cayley graph of Sn are derived. The particular case of multispecies quantum weighted Hurwitz numbers is studied in detail. 2015 Article Multispecies Weighted Hurwitz Numbers / J. Harnad // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 30 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 05A15; 14H30; 33C70; 57M12 DOI:10.3842/SIGMA.2015.097 http://dspace.nbuv.gov.ua/handle/123456789/147164 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
The construction of hypergeometric 2D Toda τ-functions as generating functions for weighted Hurwitz numbers is extended to multispecies families. Both the enumerative geometrical significance of multispecies weighted Hurwitz numbers, as weighted enumerations of branched coverings of the Riemann sphere, and their combinatorial significance in terms of weighted paths in the Cayley graph of Sn are derived. The particular case of multispecies quantum weighted Hurwitz numbers is studied in detail. |
| format |
Article |
| author |
Harnad, J. |
| spellingShingle |
Harnad, J. Multispecies Weighted Hurwitz Numbers Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Harnad, J. |
| author_sort |
Harnad, J. |
| title |
Multispecies Weighted Hurwitz Numbers |
| title_short |
Multispecies Weighted Hurwitz Numbers |
| title_full |
Multispecies Weighted Hurwitz Numbers |
| title_fullStr |
Multispecies Weighted Hurwitz Numbers |
| title_full_unstemmed |
Multispecies Weighted Hurwitz Numbers |
| title_sort |
multispecies weighted hurwitz numbers |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147164 |
| citation_txt |
Multispecies Weighted Hurwitz Numbers / J. Harnad // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 30 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:26:45Z |
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2023-05-20T17:26:45Z |
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