Multispecies Weighted Hurwitz Numbers
Vernadsky National Library of Ukraine
Переглянути архів ІнформаціяПоле | Співвідношення | |
Title |
Multispecies Weighted Hurwitz Numbers
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Creator |
Harnad, J.
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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.
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Date |
2019-02-13T18:00:06Z
2019-02-13T18:00:06Z 2015 |
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Type |
Article
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Identifier |
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 |
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Language |
en
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Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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Publisher |
Інститут математики НАН України
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