Cylindric symmetric functions and positivity

DOI10.5802/alco.90zbMath1433.05315arXiv1804.05647OpenAlexW3006247844MaRDI QIDQ2297556

Christian Korff, David Palazzo

Publication date: 20 February 2020

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05647

zbMATH Keywords

symmetric functionsGromov-Witten invariants2D TQFTcylindric reverse plane partitions

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorial aspects of representation theory (05E10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (3)

Cylindric reverse plane partitions and 2D TQFT ⋮ Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials ⋮ Cylindric Hecke characters and Gromov-Witten invariants via the asymmetric six-vertex model

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Topological quantum field theories
• Conformal field theory
• Nonnegative Hall polynomials
• The index formula for the moduli of \(G\)-bundles on a curve
• Fusion rules and modular transformations in 2D conformal field theory
• The \(\widehat {\mathfrak {sl}}(n)_k\)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology
• The Kazhdan-Lusztig cells in certain affine Weyl groups
• Infinite-dimensional Lie algebras, theta functions and modular forms
• On quantum cohomology rings of Fano manifolds and a formula of Vafa and Intriligator
• Representations of finite classical groups. A Hopf algebra approach
• Fusion rings and geometry
• Quantum multiplication of Schur polynomials
• A Hecke algebra of \((\mathbb{Z}/r\mathbb{Z})\wr{\mathfrak S}_ n\) and construction of its irreducible representations
• Quantum Schubert calculus
• On the decomposition numbers of the Hecke algebra of \(G(m,1,n)\)
• Affine Weyl groups as infinite permutations
• The quantum Euler class and the quantum cohomology of the Grassmannians
• Two Murnaghan-Nakayama rules in Schubert calculus
• Two proofs of a conjecture of Hori and Vafa
• Quantum cohomology rings of Grassmannians and total positivity
• Affine permutations of type \(A\)
• Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra
• On the representation theory of wreath products of finite groups and symmetric groups
• Positivity of cylindric skew Schur functions
• Affine approach to quantum Schubert calculus
• Cylindric skew Schur functions
• FUSION RESIDUES
• Some Examples of Square Integrable Representations of Semisimple p-Adic Groups
• Loop groups and twisted K -theory I
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Affine Stanley symmetric functions
• Notes on stable maps and quantum cohomology
• Conformal blocks, fusion rules and the Verlinde formula
• Loop groups and twisted $K$-theory II
• Quantum cohomology of the Grassmannian and alternate Thom–Sebastiani
• Cylindric Partitions

This page was built for publication: Cylindric symmetric functions and positivity