Puzzles in $K$-homology of Grassmannians
Pacific J. Math. 303 (2019) 703-727 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 $K$-theo...
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| creator | Pylyavskyy, Pavlo Yang, Jed |
| description | Pacific J. Math. 303 (2019) 703-727 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. |
| doi_str_mv | 10.48550/arxiv.1801.07667 |
| format | Article |
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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.</description><identifier>DOI: 10.48550/arxiv.1801.07667</identifier><language>eng</language><subject>Mathematics - Combinatorics</subject><creationdate>2018-01</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1801.07667$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.2140/pjm.2019.303.703$$DView published paper (Access to full text may be restricted)$$Hfree_for_read</backlink><backlink>$$Uhttps://doi.org/10.48550/arXiv.1801.07667$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Pylyavskyy, Pavlo</creatorcontrib><creatorcontrib>Yang, Jed</creatorcontrib><title>Puzzles in $K$-homology of Grassmannians</title><description>Pacific J. Math. 303 (2019) 703-727 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
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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.</abstract><doi>10.48550/arxiv.1801.07667</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Combinatorics |
| title | Puzzles in $K$-homology of Grassmannians |
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