Cover Image

Closed $k$-Schur Katalan functions as $K$-homology Schubert representatives of the affine Grassmannian

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ikeda, Takeshi, Iwao, Shinsuke, Naito, Satoshi
Format:	Preprint
Published:	2022
Subjects:	Combinatorics Mathematical Physics Algebraic Geometry K-Theory and Homology Representation Theory 05E05, 14N15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Relativistic Toda lattice and equivariant $K$-homology of affine Grassmannian
by: Ikeda, Takeshi, et al.
Published: (2025)

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)

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

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

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

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)

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

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

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

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)

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

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

Categorification of $k$-Schur functions and refined Macdonald positivity
by: Kato, Syu
Published: (2025)

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

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

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

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)

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)

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)

Quasi-flag manifolds and moment graphs
by: Berest, Yuri, et al.
Published: (2025)

Realizing the Tutte polynomial as a cut-and-paste K-theoretic invariant
by: Lopez, Mauricio Gomez
Published: (2025)

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

A combinatorial $K$-theory perspective on the Edge Reconstruction Conjecture in graph theory
by: Calle, Maxine E., et al.
Published: (2024)

Derived Character Maps of Groups Representations
by: Berest, Yuri, et al.
Published: (2022)

Ganea decompositions of classifying spaces
by: Berest, Yuri, et al.
Published: (2026)

Wall-crossing for Calabi-Yau fourfolds: framework, tools, and applications
by: Bojko, Arkadij
Published: (2025)

Gluing invariants of Donaldson--Thomas type -- Part II: Matrix factorizations
by: Hennion, Benjamin, et al.
Published: (2025)

Atiyah-Segal completion for the Hermitian K-theory of Symplectic Groups
by: Hornbostel, Jens, et al.
Published: (2023)

K-theory Soergel Bimodules
by: Eberhardt, Jens Niklas
Published: (2022)