Affine symmetries in quantum cohomology: corrections and new results

Pierre Emmanuel Chaput; Nicolas Perrin

doi:10.4310/MRL.2023.v30.n2.a3

Affine symmetries in quantum cohomology: corrections and new results

Pierre Emmanuel Chaput
, Nicolas Perrin

Research output: Contribution to journal › Article › peer-review

Abstract

In [CMP09] a general formula was given for the multiplication by some special Schubert classes in the quantum cohomology of any homogeneous space. Although this formula is true in the non equivariant setting, the stated equivariant version is wrong. We provide correction for the equivariant formula, thus giving a correct argument for the non equivariant formula.

Original language	English
Pages (from-to)	341-374
Number of pages	34
Journal	Mathematical Research Letters
Volume	30
Issue number	2
DOIs	https://doi.org/10.4310/MRL.2023.v30.n2.a3
Publication status	Published - 1 Jan 2023
Externally published	Yes

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10.4310/MRL.2023.v30.n2.a3

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title = "Affine symmetries in quantum cohomology: corrections and new results",

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AB - In [CMP09] a general formula was given for the multiplication by some special Schubert classes in the quantum cohomology of any homogeneous space. Although this formula is true in the non equivariant setting, the stated equivariant version is wrong. We provide correction for the equivariant formula, thus giving a correct argument for the non equivariant formula.

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U2 - 10.4310/MRL.2023.v30.n2.a3

DO - 10.4310/MRL.2023.v30.n2.a3

M3 - Article

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EP - 374

JO - Mathematical Research Letters

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Affine symmetries in quantum cohomology: corrections and new results

Abstract

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