Infinite flags and Schubert polynomials
We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched Schubert polynomials. We also construct an embedding...
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| Format: | Article |
| Language: | English |
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Cambridge University Press
2025-01-01
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| Series: | Forum of Mathematics, Sigma |
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| Online Access: | https://www.cambridge.org/core/product/identifier/S2050509424000999/type/journal_article |
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| _version_ | 1823860608867500032 |
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| author | David Anderson |
| author_facet | David Anderson |
| author_sort | David Anderson |
| collection | DOAJ |
| description | We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched Schubert polynomials. We also construct an embedding of the type C flag variety and study the corresponding pullback map on (equivariant) cohomology rings. |
| format | Article |
| id | doaj-art-dde76fa6263b46dab48de223f122cf23 |
| institution | Kabale University |
| issn | 2050-5094 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Cambridge University Press |
| record_format | Article |
| series | Forum of Mathematics, Sigma |
| spelling | doaj-art-dde76fa6263b46dab48de223f122cf232025-02-10T12:03:39ZengCambridge University PressForum of Mathematics, Sigma2050-50942025-01-011310.1017/fms.2024.99Infinite flags and Schubert polynomialsDavid Anderson0https://orcid.org/0000-0002-3482-0440Department of Mathematics, The Ohio State University, Columbus, USA 43210; E-mail:We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched Schubert polynomials. We also construct an embedding of the type C flag variety and study the corresponding pullback map on (equivariant) cohomology rings.https://www.cambridge.org/core/product/identifier/S2050509424000999/type/journal_article14N1505E0555N91 |
| spellingShingle | David Anderson Infinite flags and Schubert polynomials Forum of Mathematics, Sigma 14N15 05E05 55N91 |
| title | Infinite flags and Schubert polynomials |
| title_full | Infinite flags and Schubert polynomials |
| title_fullStr | Infinite flags and Schubert polynomials |
| title_full_unstemmed | Infinite flags and Schubert polynomials |
| title_short | Infinite flags and Schubert polynomials |
| title_sort | infinite flags and schubert polynomials |
| topic | 14N15 05E05 55N91 |
| url | https://www.cambridge.org/core/product/identifier/S2050509424000999/type/journal_article |
| work_keys_str_mv | AT davidanderson infiniteflagsandschubertpolynomials |