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Paper Citation Record · LEDGER

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2509.17857.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.17857 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T16:00:02.334747Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

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measured 0 of 1 external citation measurements

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Reference resolution

37 of 37 outbound references displayed

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Outbound references

Observation d91fc075-af78-4dd7-b945-265f317a17cc · outbound

This paper cites Akyıldız, A.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Akyıldız, A

Reference 1

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source=arxiv_source observed=2026-08-04T15:59:56.886523Z digest=sha256:7f451179adf05ba09ecd1279c183859d855770b97dd4ff6c59d889ce9cfbe5f9

Observation cc4e75cc-6c66-42e7-97b2-e23e43b5f5a5 · outbound

This paper cites Berstein, I.M.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Berstein, I.M

Reference 2

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source=arxiv_source observed=2026-08-04T15:59:56.979833Z digest=sha256:8a94e2bd5dcbc0b067490634649fbd3436c4fc58deab527a0b8eb650e7c1c418

Observation cb98db3a-8a6f-43d2-bd86-085996bec9c3 · outbound

This paper cites Bj\"orner, F.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Bj\"orner, F

Reference 3

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source=arxiv_source observed=2026-08-04T15:59:57.110117Z digest=sha256:73ba06c03dbde8be7f3331a5e23c23126863953f9a716fc1bde3b46cf2879a98

Observation acbb9e11-4fac-4f03-9965-122f6ff6d1a2 · outbound

This paper cites Borel, Sur la cohomologie des espaces fibr\'es principaux et des espaces homog e nes des groupes de Lie compacts , Ann.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Borel, Sur la cohomologie des espaces fibr\'es principaux et des espaces homog e nes des groupes de Lie compacts , Ann

Reference 4

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source=arxiv_source observed=2026-08-04T15:59:57.147554Z digest=sha256:1acc9edff2b9b3073d0b6d1f8b7502151771b630196519a8835a19825bb20d07

Observation 47577322-3460-41e5-bd51-cad46a4975b4 · outbound

This paper cites Introduction to the Cohomology of the Flag Variety.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Introduction to the Cohomology of the Flag Variety

Reference 5

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source=arxiv_source observed=2026-08-04T15:59:57.610579Z digest=sha256:5783b7d08db8cbc0a70ca86dacc8937e1286b4bb1e6f93bb08b98166ec4c6623

Observation 4f643f08-7617-4f2e-8559-ca024346d47b · outbound

This paper cites Buch, P.-E.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Buch, P.-E

Reference 6

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source=arxiv_source observed=2026-08-04T15:59:57.714750Z digest=sha256:5650e778602fccfc01192aaa3dd01356fb65f3377e78be2a7cde7a1d9f244beb

Observation 6841e292-6636-423e-a210-d0551bc9c079 · outbound

This paper cites Buch and L.C.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Buch and L.C

Reference 7

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source=arxiv_source observed=2026-08-04T15:59:57.865194Z digest=sha256:c33a9aa3c22f530d1fbadbe7daffe70b6b201dfdc517fe9d49435d3749655a48

Observation 929cde98-935b-42e6-b782-3129baf51a8d · outbound

This paper cites Behrend and B.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Behrend and B

Reference 8

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source=arxiv_source observed=2026-08-04T15:59:57.934792Z digest=sha256:c4e82b9050b9994275b89ecdb17efc08c18676f1c99c8525400a0ab59d780db3

Observation 99aab507-3f61-4261-86c0-aa2ad738dc4c · outbound

This paper cites Behrend, Yu.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Behrend, Yu

Reference 9

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source=arxiv_source observed=2026-08-04T15:59:58.148060Z digest=sha256:6e3b25f59b6a306002496f6f60c8064c0518fd77e320e31ab6a7b86b72405817

Observation 954f092d-381f-4fcd-94d9-65e1bd442440 · outbound

This paper cites Bertram, I.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Bertram, I

Reference 10

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source=arxiv_source observed=2026-08-04T15:59:58.244890Z digest=sha256:5b1480161285cbb5d349120fa3fae3c33e4426beeac3e9eb7225e6cd0f7d24e8

Observation e6be1422-8f02-458d-873c-502e08e8ecfd · outbound

This paper cites On D. Peterson's presentation of quantum cohomology of $G/P$.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ On D. Peterson's presentation of quantum cohomology of $G/P$

Reference 11

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source=arxiv_source observed=2026-08-04T15:59:58.435111Z digest=sha256:0dabf586cc23b97dd594d7cdb8ba629566d87be2cb0d32282619833f00ba84e5

Observation 7cdbea27-47b7-4663-81fc-ce024b1cb89d · outbound

This paper cites Coates and A.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Coates and A

Reference 12

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source=arxiv_source observed=2026-08-04T15:59:58.536639Z digest=sha256:22b94ea704df06b386a0e6427f77dbdd4f2ea2037ed2c9679fdd7896ba8c3a9b

Observation 96c5a961-9750-4e8d-a33f-be271063415c · outbound

This paper cites an unresolved cited work.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Unresolved cited work

Reference 13

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source=arxiv_source observed=2026-08-04T15:59:58.734753Z digest=sha256:69571f600407e7466b5f33561d531412db094015f78485700a5574f73ea5c213

Observation 6b8b03c9-0cea-4877-a0a6-ea866bd70267 · outbound

This paper cites Develin, J.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Develin, J

Reference 14

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source=arxiv_source observed=2026-08-04T15:59:58.886291Z digest=sha256:ad36b76d24bb2fa9ab15de1c6884f69b29bb4d121f9e201481e9d4f32564465d

Observation 410f8b5a-bcd4-4171-84c3-1ccc567bb8a3 · outbound

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Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Unresolved cited work

Reference 15

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source=arxiv_source observed=2026-08-04T15:59:59.054835Z digest=sha256:1e2578a6beb4199f0354a68ad48daeaac25fff163824f1ea7eff2979b1eb795c

Observation 223b7003-d0e2-41a8-9529-4cf64067a4d9 · outbound

This paper cites Fomin, S.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Fomin, S

Reference 16

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source=arxiv_source observed=2026-08-04T15:59:59.173001Z digest=sha256:0cb9ed06519de5407feb4b27bd27cc39791ca44fc8967806e238305e438777a2

Observation 6e8922e7-6715-41f0-96aa-e1b77fbbe6bd · outbound

This paper cites Fulton and R.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Fulton and R

Reference 17

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source=arxiv_source observed=2026-08-04T15:59:59.236013Z digest=sha256:665db6510809fea186e77a15c8e7f655b41e357cb078fb5c4ece9d9dd3be0e35

Observation 1bd596cd-0f94-42c5-8177-91f3ab222ad8 · outbound

This paper cites Fulton, C.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Fulton, C

Reference 18

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source=arxiv_source observed=2026-08-04T15:59:59.355576Z digest=sha256:ebd01302d3c1537baf77290bad608b6c930ce2629fb59c300d462242096d1699

Observation f91075dd-e9d8-4732-be62-5f32b8140458 · outbound

This paper cites Galkin and H.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Galkin and H

Reference 19

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source=arxiv_source observed=2026-08-04T15:59:59.494755Z digest=sha256:78038f2c9119f817bdfb1b9fb5be3a7d4ca80290617d94136b642a44ad823b1b

Observation 69eb21b1-7741-4e4b-bcae-43231b641e19 · outbound

This paper cites Galkin, N.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Galkin, N

Reference 20

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source=arxiv_source observed=2026-08-04T15:59:59.614752Z digest=sha256:f56fc28213d1437490039d22d0a43bfc4a5ec839dcb2445ec95628fe5237cff5

Observation b5fc1b0a-749f-4213-a8e6-7c2b3e2682ed · outbound

This paper cites Gasharov and V.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Gasharov and V

Reference 21

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source=arxiv_source observed=2026-08-04T15:59:59.752938Z digest=sha256:25052ef8a8dbc41133a873eadb74066486df7d4e1e8b6241edb1c3c897197e79

Observation 8c9f65eb-e1aa-460b-a696-1b9731255013 · outbound

This paper cites Givental.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Givental

Reference 22

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source=arxiv_source observed=2026-08-04T15:59:59.889099Z digest=sha256:7c7774f4520c911d74f14bc3661fdb5164ef6d072185ee2a7df5006a38c7aa07

Observation edba295a-9ff5-460f-99bc-23971b8a393e · outbound

This paper cites Givental, B.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Givental, B

Reference 23

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source=arxiv_source observed=2026-08-04T16:00:00.001101Z digest=sha256:cd317271b68e433bb254ae4462a533e91f4c2f9c079a252e69b6a794b6b89b9d

Observation 41981155-c514-45fa-a508-a8f97046fb8b · outbound

This paper cites Hu, H.-Z.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Hu, H.-Z

Reference 24

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source=arxiv_source observed=2026-08-04T16:00:00.174848Z digest=sha256:57a66f73fbce05335bf0a3d8e62e0a6db5173548df6a3e20a8dc9c863bd1fb09

Observation 286fa188-5b3c-4c10-8120-ed03358ebf48 · outbound

This paper cites Mirror symmetry for certain blowups of Grassmannians.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Mirror symmetry for certain blowups of Grassmannians

Reference 25

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source=arxiv_source observed=2026-08-04T16:00:00.383853Z digest=sha256:2c2f6290b2c7b51ce6a5c6a853c79dbacdc4676d8dcbfbbd90981997d16f0ec7

Observation aea13f0d-d356-4423-aad2-0e0fda4d8e16 · outbound

This paper cites Lascoux and M.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Lascoux and M

Reference 26

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source=arxiv_source observed=2026-08-04T16:00:00.576779Z digest=sha256:a3ea9f63099654d265528e88184330d1ec0578a97890b16e099a13e1ad06da36

Observation b6688b20-3f87-47b0-8f0c-558d01c27192 · outbound

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Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Unresolved cited work

Reference 27

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source=arxiv_source observed=2026-08-04T16:00:00.734757Z digest=sha256:44a1309e8be47511a5268ef22fef0e99370eebfe467be41e9dcf8e46f2ea25d3

Observation 550742f6-5a01-4bba-8b9e-99e1215c0bc8 · outbound

This paper cites Leung and C.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Leung and C

Reference 28

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source=arxiv_source observed=2026-08-04T16:00:00.875196Z digest=sha256:8410f2e114fe087f02e8662f16c02d4a05656df40fb100621d75e9f2988105cf

Observation 6fa52c73-aac0-4cd4-96af-e431b16231ca · outbound

This paper cites An anticanonical perspective on G/P Schubert varieties.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ An anticanonical perspective on G/P Schubert varieties

Reference 29

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source=arxiv_source observed=2026-08-04T16:00:01.030793Z digest=sha256:ab710238395d129437097591fc7b34a13fe8cc2d2086dbbc8c0f8f913160c4d9

Observation 74e7c054-364e-4122-a6dd-d25a43bbebb1 · outbound

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Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Unresolved cited work

Reference 30

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source=arxiv_source observed=2026-08-04T16:00:01.182820Z digest=sha256:10f466e986a4bfd5b4eac22574490d1de39770a2167ad5046f222c3d6245edc8

Observation c954b69d-59e1-4a5f-ba82-cc6ac9c6efc3 · outbound

This paper cites Mihalcea and R.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Mihalcea and R

Reference 31

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source=arxiv_source observed=2026-08-04T16:00:01.324839Z digest=sha256:92a83b19da8a6183c004e89a9f3191955f64210276fc7786a04cfc46cc891621

Observation c5750089-a883-4e60-a909-95a3cb5d18b3 · outbound

This paper cites Pech, Quantum cohomology of the odd symplectic Grassmannian of lines , J.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Pech, Quantum cohomology of the odd symplectic Grassmannian of lines , J

Reference 32

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source=arxiv_source observed=2026-08-04T16:00:01.523712Z digest=sha256:c94b121ecc05e3a3370511685e031216f3132ea337cde70a266f08eddac9ea26

Observation 2f52966f-0714-498e-b064-2ccdf4345449 · outbound

This paper cites Peterson, Quantum cohomology of G/P , in: Lecture Course, Spring Term, M.I.T, 1997; notes by J.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Peterson, Quantum cohomology of G/P , in: Lecture Course, Spring Term, M.I.T, 1997; notes by J

Reference 33

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source=arxiv_source observed=2026-08-04T16:00:01.689847Z digest=sha256:114f3fc9e61bc1da17184f01a03cb1eac1a0b20016808091a6bd2ff63e7f6b71

Observation f463518a-7f68-4215-a7c0-9b40ade38f02 · outbound

This paper cites Reiner, A.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Reiner, A

Reference 34

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source=arxiv_source observed=2026-08-04T16:00:01.980997Z digest=sha256:8ed4806fbb9d8cc3c0b679ebb2979fa8b11d790f2af322b3e42ad322a30e94fb

Observation 272e80fc-4ce9-4aad-8033-a43dcf12f44a · outbound

This paper cites Rietsch, Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties , J.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Rietsch, Totally positive Toeplitz matrices and quantum cohomology of partial flag varieties , J

Reference 35

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source=arxiv_source observed=2026-08-04T16:00:02.101045Z digest=sha256:d61f82add80347397fdabe8d1e815b3cf0f425ecbda9a7df77001ae7e64573c6

Observation 62d4a899-204a-4168-a151-2c36e2206eb8 · outbound

This paper cites Rietsch, A mirror symmetric construction of qH^*_T(G/P)_ (q) , Adv.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ Rietsch, A mirror symmetric construction of qH^*_T(G/P)_ (q) , Adv

Reference 36

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source=arxiv_source observed=2026-08-04T16:00:02.171056Z digest=sha256:88625e9514e71fe8b7feacb61d8f0726a8977334be718950bfd61c31003acd23

Observation 0092617f-3dbb-4bab-862a-c052b08befc6 · outbound

This paper cites On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator.

Quantum Schubert calculus for smooth Schubert divisors of $F\ell_n$ On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator

Reference 37

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source=arxiv_source observed=2026-08-04T16:00:02.334747Z digest=sha256:4960d83098633426e2483437a2660887c9c7d44a4ef58b14c67f71b5c5202d40

Pith citing papers

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