3D topological models and Heegaard splitting. II. Pontryagin duality and observables
DOI10.1063/5.0027779zbMath1454.81208arXiv2008.04777OpenAlexW3096609274MaRDI QIDQ5141129
Publication date: 17 December 2020
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.04777
Model quantum field theories (81T10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Topological field theories in quantum mechanics (81T45) Eta-invariants, Chern-Simons invariants (58J28) Partially hyperbolic systems and dominated splittings (37D30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A reciprocity formula from abelian BF and Turaev-Viro theories
- State sum invariants of 3-manifolds and quantum \(6j\)-symbols
- The link invariants of the Chern-Simons field theory. New developments in topological quantum field theory
- Chern-Simons invariants of 3-manifolds decomposed along tori and the circle bundle over the representation space of \(T^ 2\)
- Invariants of three-manifolds derived from linking matrices of framed links
- Invariants of 3-manifolds via link polynomials and quantum groups
- Path-integral invariants in abelian Chern-Simons theory
- Lefschetz-Pontrjagin duality for differential characters
- Topological gauge fixing II: A homotopy formulation
- Abelian BF theory and Turaev-Viro invariant
- Geometric aspects of interpolating gauge-fixing in Chern–Simons theory
- The de Rham-Federer theory of differential characters and character duality
- 3D topological models and Heegaard splitting. I. Partition function
- Higher dimensional abelian Chern-Simons theories and their link invariants
- Three-manifold invariant from functional integration