nLab Frank Thuillier

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Selected writings

On abelian Chern-Simons theory via path integrals over ordinary differential cocycles:

• Enore Guadagnini, Frank Thuillier: Deligne-Beilinson cohomology and abelian links invariants, SIGMA 4 (2008) 078 [arXiv:0801.1445, doi:10.3842/SIGMA.2008.078]

• Enore Guadagnini, Frank Thuillier: Three-manifold invariant from functional integration, J. Math. Phys. 54 (2013) 082302 [arXiv:1301.6407, doi:10.1063/1.4818738]

• Enore Guadagnini, Frank Thuillier: Path-integral invariants in abelian Chern–Simons theory, Nuclear Physics B 882 (2014) 450-484 [doi:10.1016/j.nuclphysb.2014.03.009, arXiv:1402.3140]

and in relation to the Reshetikhin-Turaev construction:

• Philippe Mathieu, Frank Thuillier: Abelian Turaev-Virelizier theorem and $U(1)$ BF surgery formulas [arXiv:1706.01845]

and for product gauge group $U(1)^n$:

• Han-Miru Kim, Philippe Mathieu, Michail Tagaris, Frank Thuillier: $U(1)^n$ Chern-Simons theory: partition function, reciprocity formula and CS-duality, J. Math. Phys. 66 042301 (2025) [arXiv:2409.10734, doi:10.1063/5.023925]

• Michail Tagaris, Frank Thuillier: Reshetikhin-Turaev construction and $\mathrm{U}(1)^n$ Chern-Simons partition function [arXiv:2507.08587]

• Michail Tagaris, Frank Thuillier: Observables in $\mathrm{U}(1)^n$ Chern-Simons theory [arXiv:2603.08632]

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