Cover Image

Relativistic Toda lattice and equivariant $K$-homology of affine Grassmannian

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ikeda, Takeshi, Iwao, Shinsuke, Naito, Satoshi, Yamaguchi, Kohei
Format:	Preprint
Published:	2025
Subjects:	Representation Theory Algebraic Geometry Combinatorics K-Theory and Homology 05E05, 14N15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Closed $k$-Schur Katalan functions as $K$-homology Schubert representatives of the affine Grassmannian
by: Ikeda, Takeshi, et al.
Published: (2022)

Equivariant $K$-homology of affine Grassmannian and $K$-theoretic double $k$-Schur functions
by: Ikeda, Takeshi, et al.
Published: (2024)

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$-functions
by: Ikeda, Takeshi, et al.
Published: (2025)

Relativistic Toda lattice of type B and quantum $K$-theory of type C flag variety
by: Ikeda, Takeshi, et al.
Published: (2026)

Generating functions of dual $K$-theoretic $P$- and $Q$-functions and boson-fermion correspondence
by: Iwao, Shinsuke
Published: (2023)

Borel-type presentation of the torus-equivariant quantum $K$-ring of flag manifolds of type $C$
by: Kouno, Takafumi, et al.
Published: (2024)

A generalization of the Murnaghan-Nakayama rule for $K$-$k$-Schur and $k$-Schur functions
by: Duc, Khanh Nguyen
Published: (2022)

Quantum $K$-theory of Lagrangian Grassmannian via parabolic Peterson isomorphism
by: Ikeda, Takeshi, et al.
Published: (2024)

Seidel product formula in equivariant quantum $K$-theory of flag varieties
by: Ikeda, Takeshi, et al.
Published: (2026)

Quantum $K$-theoretic divisor axiom for flag manifolds
by: Lenart, Cristian, et al.
Published: (2025)

A Murnaghan-Nakayama rule for Grothendieck polynomials of Grassmannian type
by: Duc, Khanh Nguyen, et al.
Published: (2021)

An elementary construction of the ring of dual $K$-$Q$-cancellation property
by: Iwao, Shinsuke
Published: (2025)

Neutral-Fermion constructions of factorial $gp$-and $gq$-Functions
by: Brahma, Koushik, et al.
Published: (2026)

Quantum $K$-theoretic Whitney relations for type $C$ flag manifolds
by: Kouno, Takafumi
Published: (2025)

Toda-Type Presentations for the Quantum K Theory of Partial Flag Varieties
by: Amini, Kamyar, et al.
Published: (2025)

On diagonal digraphs, Koszul algebras and triangulations of homology spheres
by: Ivanov, Sergei O., et al.
Published: (2024)

On the K-theory of matroids with Tutte coverings
by: Caputi, Luigi, et al.
Published: (2026)

Graph enumeration for moduli spaces of curves and maps
by: Kannan, Siddarth, et al.
Published: (2025)

Virasoro constraints on moduli of sheaves and vertex algebras
by: Bojko, Arkadij, et al.
Published: (2022)

The Parabolic K-motivic Hecke Category
by: Eberhardt, Jens Niklas, et al.
Published: (2025)

Link patterns and elliptic Hecke algebra
by: Weber, Andrzej
Published: (2024)

Equivariant $K$-theory, affine Grassmannian and perfection
by: Löwit, Jakub
Published: (2024)

K-motives, Springer Theory and the Local Langlands Correspondence
by: Eberhardt, Jens Niklas
Published: (2024)

Degeneracy locus formulas for amenable Weyl group elements
by: Tamvakis, Harry
Published: (2019)

Universal codimension two cycle on a very general cubic threefold
by: Banerjee, Kalyan
Published: (2025)

On filtered algebraic $K$-theory of stacks I: characteristic zero
by: Elmanto, Elden, et al.
Published: (2025)

Classical double Grothendieck transitions
by: Marberg, Eric
Published: (2025)

On some Grothendieck expansions
by: Marberg, Eric, et al.
Published: (2024)

Combinatorial formulas for shifted dual stable Grothendieck polynomials
by: Lewis, Joel Brewster, et al.
Published: (2022)

A generalization of quantum Lakshmibai-Seshadri paths for arbitrary weights
by: Kouno, Takafumi, et al.
Published: (2024)

Equivariant ($K$-)homology of affine Grassmannian and Toda lattice
by: Bezrukavnikov, Roman, et al.
Published: (2003)

Torus actions, Morse homology, and the Hilbert scheme of points on affine space
by: Totaro, Burt
Published: (2020)

Zero-one dual characters of flagged Weyl modules
by: Guo, Peter L., et al.
Published: (2024)

Universal Koszul Duality for Kac-Moody Groups
by: Eberhardt, Jens Niklas, et al.
Published: (2024)

ku-theoretic spectral decompositions for spheres and projective spaces
by: Devalapurkar, Sanath K.
Published: (2024)

Wall-crossing for zero-dimensional sheaves and Hilbert schemes of points on Calabi-Yau 4-folds
by: Bojko, Arkadij
Published: (2021)

Proper connective differential graded algebras and their geometric realizations
by: Raedschelders, Theo, et al.
Published: (2019)

Koszul duality and a conjecture of Francis-Gaitsgory
by: Heuts, Gijs
Published: (2024)

Pieri-type multiplication formula for quantum Grothendieck polynomials
by: Naito, Satoshi, et al.
Published: (2022)

A categorification of the quantum Lefschetz principle
by: Kern, David
Published: (2020)