Pieri’S Formula Via Explicit Rational Equivalence
1997 ◽
Vol 49
(6)
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pp. 1281-1298
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AbstractPieri’s formula describes the intersection product of a Schubert cycle by a special Schubert cycle on a Grassmannian. We present a new geometric proof, exhibiting an explicit chain of rational equivalences from a suitable sum of distinct Schubert cycles to the intersection of a Schubert cycle with a special Schubert cycle. The geometry of these rational equivalences indicates a link to a combinatorial proof of Pieri’s formula using Schensted insertion.
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1966 ◽
Vol 1
(2)
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pp. 224-232
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2013 ◽
Vol 22
(06)
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pp. 1350014
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