Schur \(\mathrm{Q}\)-polynomials and Kontsevich-Witten tau function
DOI10.1007/s42543-023-00064-6zbMATH Open1548.14167MaRDI QIDQ6615574
Publication date: 8 October 2024
Published in: Peking Mathematical Journal (Search for Journal in Brave)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)
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- The structure of 2D semi-simple field theories
- Virasoro constraints for target curves
- Intersection theory on the moduli space of curves and the matrix Airy function
- Polynomial averages in the Kontsevich model
- Quantum cohomology and Virasoro algebra
- Virasoro constraints for quantum cohomology
- Symmetric functions in the Kontsevich-Witten intersection theory of the moduli space of curves
- A quantum \(S\)-matrix for two-dimensional black hole formation and evaporation
- Frobenius manifolds and Virasoro constraints
- Pfaffian identities and Virasoro operators
- Superintegrability and Kontsevich-Hermitian relation
- Intersection numbers on \({\overline{M}}_{g,n}\) and BKP hierarchy
- Around spin Hurwitz numbers
- Pfaffian formulas and Schur \(Q\)-function identities
- Geometric interpretation of Zhou's explicit formula for the Witten-Kontsevich tau function
- Hypergeometric functions related to Schur \(Q\)-polynomials and the BKP equation
- Q-polynomial expansion for Brézin-Gross-Witten tau-function
- Cut-and-join operator representation for Kontsevich-Witten tau-function
- On Certain Symmetric Functions
- Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology
- COMBINATORICS OF THE MODULAR GROUP II THE KONTSEVICH INTEGRALS
- Symmetric function products and plethysms and the boson-fermion correspondence
- Polynomial tau-functions of BKP and DKP hierarchies
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