Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 097, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.097 (Mi sigma1078) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Multispecies Weighted Hurwitz Numbers

J. Harnadab

a Centre de Recherches Mathématiques, Université de Montréal, C.P. 6128, succ. Centre-ville, Montréal (QC) H3C 3J7, Canada
b Department of Mathematics and Statistics, Concordia University, 7141 Sherbrooke W., Montréal (QC) H4B 1R6, Canada
Full-text PDF (465 kB) Citations (9)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2015.097
Abstract: The construction of hypergeometric $2D$ Toda $\tau$-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 $S_n$ are derived. The particular case of multispecies quantum weighted Hurwitz numbers is studied in detail.
Keywords: weighted Hurwitz number; $\tau$-function; multispecies.
Received: March 31, 2015; in final form November 16, 2015; Published online December 2, 2015
Bibliographic databases:
Document Type: Article
MSC: 05A15; 14H30; 33C70; 57M12
Language: English
Citation: J. Harnad, “Multispecies Weighted Hurwitz Numbers”, SIGMA, 11 (2015), 097, 19 pp.
Citation in format AMSBIB
\Bibitem{Har15}
\by J.~Harnad
\paper Multispecies Weighted Hurwitz Numbers
\jour SIGMA
\yr 2015
\vol 11
\papernumber 097
\totalpages 19
\mathnet{http://mi.mathnet.ru/sigma1078}
\crossref{https://doi.org/10.3842/SIGMA.2015.097}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000366448500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84949681656}
Linking options:
  • https://www.mathnet.ru/eng/sigma1078
  • https://www.mathnet.ru/eng/sigma/v11/p97
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:155
    Full-text PDF :41
    References:39
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024