kl poly data
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Kazhdan–Lusztig Polynomial Data

This webpage contains various interactive plots and comparison tools that supplement the paper [arXiv; GitHub]. Further details and explanations can be found in the paper and GitHub pages.

Notice! While the website probably works on phones, less care has been put into polishing the mobile experience.

Warning! The Ballmapper page and old versions of the website fetch large files (~30-50MB per figure). So beware if you have bandwidth limits or slow internet.

Website Map

The analogous webpage for polynomial knot invariants can be found here.

References and acknowledgements
Papers (submitted after 2019) detailing invariants and techniques we used
  • P. Dłotko, Ball mapper: a shape summary for topological data analysis, 2019 [arXiv]

Short descriptions of the polynomials and their abbreviations used in some plots.

NameAbbreivationDescription
KLKLKazhdan--Lusztig polynomial
HHThe q-derivative of Kazhdan--Lusztig polynomials