Cylindric skew Schur functions

DOI10.1016/j.aim.2005.07.011zbMath1110.05099arXivmath/0410301OpenAlexW2094938771MaRDI QIDQ2503365

Peter R. W. McNamara

Publication date: 14 September 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410301

zbMATH Keywords

Gromov-Witten invariantSchur-positivity\(P\)-partitioncylindric tableaux

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Combinatorics of partially ordered sets (06A07) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Related Items (16)

An equivariant quantum Pieri rule for the Grassmannian on cylindric shapes ⋮ Cylindric reverse plane partitions and 2D TQFT ⋮ On cyclic descents for tableaux ⋮ Equality of \(P\)-partition generating functions. ⋮ Quantum cohomology via vicious and osculating walkers ⋮ Walks in simplices, cylindric tableaux, and asymmetric exclusion processes ⋮ Genus zero \(\widehat{\mathfrak{su}}(n)_m\) Wess-Zumino-Witten fusion rules via Macdonald polynomials ⋮ Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra ⋮ Skew quasisymmetric Schur functions and noncommutative Schur functions ⋮ Cylindric Hecke characters and Gromov-Witten invariants via the asymmetric six-vertex model ⋮ Cell transfer and monomial positivity ⋮ Affine Pieri rule for periodic Macdonald spherical functions and fusion rings ⋮ \(P\)-partition products and fundamental quasi-symmetric function positivity ⋮ Interlaced processes on the circle ⋮ Cylindric symmetric functions and positivity ⋮ Positivity of cylindric skew Schur functions

Cites Work

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• Affine approach to quantum Schubert calculus
• Enumeration of plane partitions
• su(n) and sp(2n) WZW fusion rules
• Ordered structures and partitions
• Cylindric Partitions

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