Puzzles in K-homology of Grassmannians
Document Type
Article
Abstract
Knutson, Tao, and Woodward formulated a Littlewood–Richardson rule for the cohomology ring of Grassmannians in terms of puzzles. Vakil and Wheeler–Zinn-Justin have found additional triangular puzzle pieces that allow one to express structure constants for K-theory of Grassmannians. Here we introduce two other puzzle pieces of hexagonal shape, each of which gives a Littlewood–Richardson rule for K-homology of Grassmannians. We also explore the corresponding eight versions of K-theoretic Littlewood–Richardson tableaux.
Department(s)
Mathematics and Computer Science
Publication Title
Pacific Journal of Mathematics
Volume
303
Issue
2
First Page
703
Last Page
727
Publication Date
2019
DOI
10.2140/pjm.2019.303.703
ISSN
0030-8730
E-ISSN
1945-5844
Recommended Citation
Pylyavskyy, Pavlo and Yang, Jed, "Puzzles in K-homology of Grassmannians" (2019). Math and Computer Science Faculty Publications. 5.
https://spark.bethel.edu/math-cs-faculty/5