Involutions on standard Young tableaux and divisors on metric graphs
Name
Agrawal-2013-Involutions on standard.pdf
Size
400.41 KB
Format
Adobe PDF
Checksum (MD5)
cfe00012067c2f98cecd1b1e4ecb39f3
Author(s)
Agrawal, Rohit
Musiker, Gregg
Sotirov, Vladimir
Wei, Fan
Date Issued
September 2013
Journal
Electronic Journal of Combinatorics
Publisher
Electronic Journal of Combinatorics
Citation
Agrawal, Rohit, Gregg Musiker, Vladimir Sotirov, and Fan Wei. "Involutions on Standard Young Tableaux and Divisors on Metric Graphs." Electronic Journal of Combinatorics, Volume 20, Issue 3 (2013).
Version
Final published version
Abstract
We elaborate upon a bijection discovered by Cools, Draisma, Payne, and Robeva (2012) between the set of rectangular standard Young tableaux and the set of equivalence classes of chip configurations on certain metric graphs under the relation of linear equivalence. We present an explicit formula for computing the v[subscript 0]-reduced divisors (representatives of the equivalence classes) associated to given tableaux, and use this formula to prove (i) evacuation of tableaux corresponds (under the bijection) to reflecting the metric graph, and (ii) conjugation of the tableaux corresponds to taking the Riemann-Roch dual of the divisor.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.37236/2590
