Multispecies Weighted Hurwitz Numbers

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік
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dc.contributor.author	Harnad, J.
dc.date.accessioned	2019-02-13T18:00:06Z
dc.date.available	2019-02-13T18:00:06Z
dc.date.issued	2015
dc.identifier.citation	Multispecies Weighted Hurwitz Numbers / J. Harnad // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 30 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 05A15; 14H30; 33C70; 57M12
dc.identifier.other	DOI:10.3842/SIGMA.2015.097
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147164
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Exact Solvability and Symmetry Avatars in honour of Luc Vinet. The full collection is available at http://www.emis.de/journals/SIGMA/ESSA2014.html. This work is an extension of a joint project [11, 12] with M. Guay-Paquet, in which the notion of infinite parametric families of weighted Hurwitz numbers was first introduced, combined with the notion of signed multispecies Hurwitz numbers as introduced in [15] with A.Yu. Orlov. The author would like to thank both these co-authors for helpful discussions. Work supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) and the Fonds de recherche du Qu´ebec – Nature et technologies (FRQNT).	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Multispecies Weighted Hurwitz Numbers	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA