Hilbert schemes, Verma modules and spectral functions of hyperbolic geometry with application to quantum invariants
DOI10.1142/S0217751X19300060zbMath1412.81153arXiv2012.12662WikidataQ127871367 ScholiaQ127871367MaRDI QIDQ5376993
Masud Chaichian, Andrei A. Bytsenko, Antonio E. Gonçalves
Publication date: 21 May 2019
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2012.12662
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Virasoro and related algebras (17B68) Applications of Lie (super)algebras to physics, etc. (17B81) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory (81Q70)
Cites Work
- Partition functions for quantum gravity, black holes, elliptic genera and Lie algebra homologies
- Global gravitational anomalies
- Infinite-dimensional Lie algebras, theta functions and modular forms
- Analytic torsion and closed geodesics on hyperbolic manifolds
- Infinite conformal symmetry in two-dimensional quantum field theory
- Eta invariants of Dirac operators on locally symmetric manifolds
- The Betti numbers of the Hilbert scheme of points on a smooth projective surface
- Diagonalization of the \(XXZ\) Hamiltonian by vertex operators
- A strong coupling test of \(S\)-duality
- \(R\)-torsion and zeta functions for locally symmetric manifolds
- R-torsion and the Laplacian on Riemannian manifolds
- Analytic torsion for complex manifolds
- String partition functions, Hilbert schemes and affine Lie algebra representations on homology groups
- Topological Quantum Field Theories from Compact Lie Groups
- SU(n)-CHERN–SIMONS INVARIANTS OF SEIFERT FIBERED 3-MANIFOLDS
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