FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1855227589> ?p ?o ?g. }

• W1855227589 abstract "There are two intriguing statements regarding the quantum cohomology of partial flag varieties. The first one relates quantum cohomology to the affinisation of Lie algebras and the homology of the affine Grassmannian, the second one connects it with the geometry of quiver varieties. The connection with the affine Grassmannian was first discussed in unpublished work of Peterson and subsequently proved by Lam and Shimozono. The second development is based on recent works of Nekrasov, Shatashvili and of Maulik, Okounkov relating the quantum cohomology of Nakajima varieties with integrable systems and quantum groups. In this article we explore for the simplest case, the Grassmannian, the relation between the two approaches. We extend the definition of the integrable systems called vicious and osculating walkers to the equivariant setting and show that these models have simple expressions in a particular representation of the affine nil-Hecke ring. We compare this representation with the one introduced by Kostant and Kumar and later used by Peterson in his approach to Schubert calculus. We reveal an underlying quantum group structure in terms of Yang-Baxter algebras and relate them to Schur-Weyl duality. We also derive new combinatorial results for equivariant Gromov-Witten invariants such as an explicit determinant formula." @default.
• W1855227589 created "2016-06-24" @default.
• W1855227589 creator A5039572733 @default.
• W1855227589 creator A5079472520 @default.
• W1855227589 date "2014-02-12" @default.
• W1855227589 modified "2023-09-27" @default.
• W1855227589 title "Equivariant quantum cohomology and Yang-Baxter algebras" @default.
• W1855227589 cites W1499968416 @default.
• W1855227589 cites W1589728947 @default.
• W1855227589 cites W1605303195 @default.
• W1855227589 cites W1661441591 @default.
• W1855227589 cites W171585182 @default.
• W1855227589 cites W1816230691 @default.
• W1855227589 cites W1967764902 @default.
• W1855227589 cites W1975418884 @default.
• W1855227589 cites W1980472828 @default.
• W1855227589 cites W1982592429 @default.
• W1855227589 cites W2006312843 @default.
• W1855227589 cites W2013265108 @default.
• W1855227589 cites W2020130625 @default.
• W1855227589 cites W2021311057 @default.
• W1855227589 cites W2022304678 @default.
• W1855227589 cites W2022479496 @default.
• W1855227589 cites W2036520903 @default.
• W1855227589 cites W2043626917 @default.
• W1855227589 cites W2050637368 @default.
• W1855227589 cites W2057315959 @default.
• W1855227589 cites W2067784852 @default.
• W1855227589 cites W2080720229 @default.
• W1855227589 cites W2082165909 @default.
• W1855227589 cites W2088536807 @default.
• W1855227589 cites W2094594266 @default.
• W1855227589 cites W2108205936 @default.
• W1855227589 cites W2123876544 @default.
• W1855227589 cites W2134984950 @default.
• W1855227589 cites W2135893164 @default.
• W1855227589 cites W2149692535 @default.
• W1855227589 cites W2155082294 @default.
• W1855227589 cites W2165577957 @default.
• W1855227589 cites W2949133410 @default.
• W1855227589 cites W2963634859 @default.
• W1855227589 cites W2963640809 @default.
• W1855227589 cites W2964182859 @default.
• W1855227589 cites W2993184849 @default.
• W1855227589 hasPublicationYear "2014" @default.
• W1855227589 type Work @default.
• W1855227589 sameAs 1855227589 @default.
• W1855227589 citedByCount "5" @default.
• W1855227589 countsByYear W18552275892014 @default.
• W1855227589 countsByYear W18552275892017 @default.
• W1855227589 countsByYear W18552275892019 @default.
• W1855227589 countsByYear W18552275892020 @default.
• W1855227589 crossrefType "posted-content" @default.
• W1855227589 hasAuthorship W1855227589A5039572733 @default.
• W1855227589 hasAuthorship W1855227589A5079472520 @default.
• W1855227589 hasConcept C121332964 @default.
• W1855227589 hasConcept C136119220 @default.
• W1855227589 hasConcept C136660716 @default.
• W1855227589 hasConcept C162929932 @default.
• W1855227589 hasConcept C168310172 @default.
• W1855227589 hasConcept C169843257 @default.
• W1855227589 hasConcept C171036898 @default.
• W1855227589 hasConcept C197273675 @default.
• W1855227589 hasConcept C202444582 @default.
• W1855227589 hasConcept C2776730729 @default.
• W1855227589 hasConcept C2779185822 @default.
• W1855227589 hasConcept C33923547 @default.
• W1855227589 hasConcept C51568863 @default.
• W1855227589 hasConcept C62520636 @default.
• W1855227589 hasConcept C72738302 @default.
• W1855227589 hasConcept C78606066 @default.
• W1855227589 hasConcept C84114770 @default.
• W1855227589 hasConcept C92757383 @default.
• W1855227589 hasConceptScore W1855227589C121332964 @default.
• W1855227589 hasConceptScore W1855227589C136119220 @default.
• W1855227589 hasConceptScore W1855227589C136660716 @default.
• W1855227589 hasConceptScore W1855227589C162929932 @default.
• W1855227589 hasConceptScore W1855227589C168310172 @default.
• W1855227589 hasConceptScore W1855227589C169843257 @default.
• W1855227589 hasConceptScore W1855227589C171036898 @default.
• W1855227589 hasConceptScore W1855227589C197273675 @default.
• W1855227589 hasConceptScore W1855227589C202444582 @default.
• W1855227589 hasConceptScore W1855227589C2776730729 @default.
• W1855227589 hasConceptScore W1855227589C2779185822 @default.
• W1855227589 hasConceptScore W1855227589C33923547 @default.
• W1855227589 hasConceptScore W1855227589C51568863 @default.
• W1855227589 hasConceptScore W1855227589C62520636 @default.
• W1855227589 hasConceptScore W1855227589C72738302 @default.
• W1855227589 hasConceptScore W1855227589C78606066 @default.
• W1855227589 hasConceptScore W1855227589C84114770 @default.
• W1855227589 hasConceptScore W1855227589C92757383 @default.
• W1855227589 hasLocation W18552275891 @default.
• W1855227589 hasOpenAccess W1855227589 @default.
• W1855227589 hasPrimaryLocation W18552275891 @default.
• W1855227589 hasRelatedWork W1510417068 @default.
• W1855227589 hasRelatedWork W1530042113 @default.
• W1855227589 hasRelatedWork W1582600713 @default.
• W1855227589 hasRelatedWork W2020130625 @default.
• W1855227589 hasRelatedWork W2022304678 @default.
• W1855227589 hasRelatedWork W2057276739 @default.

• next