Matches in SemOpenAlex for { <https://semopenalex.org/work/W2601985675> ?p ?o ?g. }
Showing items 1 to 77 of
77
with 100 items per page.
- W2601985675 abstract "The $K$-homology ring of the affine Grassmannian of $SL_n(C)$ was studied by Lam, Schilling, and Shimozono. It is realized as a certain concrete Hopf subring of the ring of symmetric functions. On the other hand, for the quantum $K$-theory of the flag variety $Fl_n$, Kirillov and Maeno provided a conjectural presentation based on the results obtained by Givental and Lee. We construct an explicit birational morphism between the spectrums of these two rings. Our method relies on Ruijsenaars's relativistic Toda lattice with unipotent initial condition. From this result, we obtain a $K$-theory analogue of the so-called Peterson isomorphism for (co)homology. We provide a conjecture on the detailed relationship between the Schubert bases, and, in particular, we determine the image of Lenart--Maeno's quantum Grothendieck polynomial associated with a Grassmannian permutation." @default.
- W2601985675 created "2017-04-07" @default.
- W2601985675 creator A5010525064 @default.
- W2601985675 creator A5069004645 @default.
- W2601985675 creator A5083895442 @default.
- W2601985675 date "2017-03-25" @default.
- W2601985675 modified "2023-09-24" @default.
- W2601985675 title "Peterson Isomorphism in $K$-theory and Relativistic Toda Lattice" @default.
- W2601985675 doi "https://doi.org/10.48550/arxiv.1703.08664" @default.
- W2601985675 hasPublicationYear "2017" @default.
- W2601985675 type Work @default.
- W2601985675 sameAs 2601985675 @default.
- W2601985675 citedByCount "1" @default.
- W2601985675 countsByYear W26019856752018 @default.
- W2601985675 crossrefType "posted-content" @default.
- W2601985675 hasAuthorship W2601985675A5010525064 @default.
- W2601985675 hasAuthorship W2601985675A5069004645 @default.
- W2601985675 hasAuthorship W2601985675A5083895442 @default.
- W2601985675 hasBestOaLocation W26019856751 @default.
- W2601985675 hasConcept C115624301 @default.
- W2601985675 hasConcept C134306372 @default.
- W2601985675 hasConcept C137212723 @default.
- W2601985675 hasConcept C162929932 @default.
- W2601985675 hasConcept C168619227 @default.
- W2601985675 hasConcept C185579658 @default.
- W2601985675 hasConcept C185592680 @default.
- W2601985675 hasConcept C200741047 @default.
- W2601985675 hasConcept C202444582 @default.
- W2601985675 hasConcept C203436722 @default.
- W2601985675 hasConcept C205633959 @default.
- W2601985675 hasConcept C2779185822 @default.
- W2601985675 hasConcept C33923547 @default.
- W2601985675 hasConcept C72738302 @default.
- W2601985675 hasConcept C7322696 @default.
- W2601985675 hasConcept C78606066 @default.
- W2601985675 hasConcept C8010536 @default.
- W2601985675 hasConcept C90119067 @default.
- W2601985675 hasConcept C92757383 @default.
- W2601985675 hasConcept C9485509 @default.
- W2601985675 hasConceptScore W2601985675C115624301 @default.
- W2601985675 hasConceptScore W2601985675C134306372 @default.
- W2601985675 hasConceptScore W2601985675C137212723 @default.
- W2601985675 hasConceptScore W2601985675C162929932 @default.
- W2601985675 hasConceptScore W2601985675C168619227 @default.
- W2601985675 hasConceptScore W2601985675C185579658 @default.
- W2601985675 hasConceptScore W2601985675C185592680 @default.
- W2601985675 hasConceptScore W2601985675C200741047 @default.
- W2601985675 hasConceptScore W2601985675C202444582 @default.
- W2601985675 hasConceptScore W2601985675C203436722 @default.
- W2601985675 hasConceptScore W2601985675C205633959 @default.
- W2601985675 hasConceptScore W2601985675C2779185822 @default.
- W2601985675 hasConceptScore W2601985675C33923547 @default.
- W2601985675 hasConceptScore W2601985675C72738302 @default.
- W2601985675 hasConceptScore W2601985675C7322696 @default.
- W2601985675 hasConceptScore W2601985675C78606066 @default.
- W2601985675 hasConceptScore W2601985675C8010536 @default.
- W2601985675 hasConceptScore W2601985675C90119067 @default.
- W2601985675 hasConceptScore W2601985675C92757383 @default.
- W2601985675 hasConceptScore W2601985675C9485509 @default.
- W2601985675 hasLocation W26019856751 @default.
- W2601985675 hasLocation W26019856752 @default.
- W2601985675 hasOpenAccess W2601985675 @default.
- W2601985675 hasPrimaryLocation W26019856751 @default.
- W2601985675 hasRelatedWork W1944222175 @default.
- W2601985675 hasRelatedWork W1985218657 @default.
- W2601985675 hasRelatedWork W2601985675 @default.
- W2601985675 hasRelatedWork W2949427989 @default.
- W2601985675 hasRelatedWork W2949969711 @default.
- W2601985675 hasRelatedWork W2963564068 @default.
- W2601985675 hasRelatedWork W3139647519 @default.
- W2601985675 hasRelatedWork W4299437383 @default.
- W2601985675 hasRelatedWork W4299551452 @default.
- W2601985675 hasRelatedWork W86945126 @default.
- W2601985675 isParatext "false" @default.
- W2601985675 isRetracted "false" @default.
- W2601985675 magId "2601985675" @default.
- W2601985675 workType "article" @default.