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Atle Hahn
Member of the Group of Mathematical Physics of the University of Lisbon (GFMUL) .
Scientific interests
- Path integrals methods in quantum field theory
- Topological quantum field theory
- Quantum Gravity
- Knot theory
Some recent papers/preprints
- The non-Abelian Chern-Simons path integral on \(M = \Sigma \times
S^1\) in the torus gauge: a review,
e-print: https://www.researchgate.net/publication/317642276 (94 pages), 2017. - Torus Knots and the Chern-Simons path integral: a rigorous treatment, e-print: arXiv:1508.03804v5 (41 pages), 2016.
- From simplicial Chern-Simons theory to the Shadow Invariant II, Journal of Mathematical Physics 56: 032302 (46 pages), 2015.
- From simplicial Chern-Simons theory to the Shadow Invariant I, Journal of Mathematical Physics 56: 032301 (52 pages), 2015.
- (With Sebastian de Haro) The Chern-Simons path integral and the
quantum Racah formula,
Reviews in Mathematical Physics 25(3): 1350004 (41 pages), 2013. - An analytic Approach to Turaev's Shadow Invariant. J. Knot Th. Ram., 17(11): 1327-1385, 2008.
- Chern-Simons models on S2 x S1, torus gauge fixing, and link invariants II. J. Geom. Phys., 58:1124-1136, 2008.
- Chern-Simons models on S2 x S1, torus gauge fixing, and link invariants I, J. Geom. Phys., 53(3):275-314, 2005.
- The Wilson loop observables of Chern-Simons theory on R3 in axial gauge, Commun. Math. Phys. 248(3):467-499, 2004.
- Chern-Simons theory on R3 in axial gauge: a rigorous approach, J. Funct. Anal. 211(2):483-507, 2004.