Prepublications:
. Skein modules of closed 3 manifolds define line bundles over character varieties. ArXiv:2501.02617
. Classification of semi-weight representations of reduced stated skein algebras (with H.Karuo). ArXiv:2303.094333
. Relating quantum character varieties and skein modules (with J.Murakami). ArXiv:2211.04525
. Quantum holonomic link invariants derived from stated skein algebras. ArXiv:1907.01732
. A quantum ergodic theorem for mapping class groups action on character variety. ArXiv :1601.06106
Publications:
. Azumaya loci of skein algebras (with H.Karuo). To appear in Transaction of AMS. ArXiv:2211.13700
. Mapping class group representations derived from stated skein algebras. SIGMA 18 (2022), 064, 35 pages. ArXiv:2202.07649
. Stated skein algebras and their representations. Journal RIMS Kokyuroku (2021) vol 2191 pages 52-71.
. Finite presentations for stated skein algebras and lattice gauge field theory. Algebraic & Geometric Topology 23-3 (2023) pages 1249-1302. ArXiv:201203237
. Unicity for representations of reduced stated skein algebras. Topology & its Applications 293 (2021) pages 107570. ArXiv:2001.00969
. The quantum trace as a quantum non-abelianization map (with A.Quesney). J.Knot Theory & its ramifications (2022) vol 31 no 06, pages 2250032. ArXiv:1907.01177
. Classical Shadows of stated skein algebras at roots of unity (with A.Quesney). Algebraic Geometry & Topology 24-4 (2024) pages 2091–2148. ArXiv:1905.03441
. Triangular decomposition of character varieties. To appear in Ann. Math. Blaise Pascal. ArXiv:1904.09022
. On the infiniteness of the image of Reshetikhin-Turaev representations. Archiv der Mathematik 111 (2018), pages 247--256. ArXiv:1412.2671
. Decomposition of some Reshetikhin-Turaev representations into irreducible factors. SIGMA 15 (2019), 011, 25 pages. ArXiv:1406.4389
. Irreducible factors of Weil representations and TQFT . Mathematical Reports 21(4) (2019). ArXiv:1310.0390
Procedings/surveys:
. A survey on mapping class group representations derived from skein theory: ArXiv:2412.17655
. A survey on stated skein algebras and their representations: ArXiv:2105.09563
. The slides of a class I gave on the same subject can be find here.
. A survey on the analytic part of Gunningham-Jordan-Safronov's proof of Witten finiteness conjecture is here.
PhD thesis:
. On some quantum representations of the mapping class groups of surfaces