Tatsuro Shimizu
Assistant professor, Faculty of Policy Management, Keio University
tshimizu -at- sfc.keio.ac.jp
last updated : 2025/4/3
Tatsuro Shimizu, A geometric description of the Reidemeister-Turaev torsion of 3-manifolds, Mathematical Proceedings of the Cambridge Philosophical Society, Volume 179, Issue 2, pp. 233 - 258, Sep. 2025,
Tatsuro Shimizu, Morse homotopy for the SU(2)-Chern-Simons perturbation theory, Journal of Differential Geometry, Vol. 123(No. 2), pp.363-390, Feb. 2023
Tatsuro Shimizu, On self-intersection of singularity sets of fold maps, Hokkaido Mathematical Journal, Vol. 50(No. 3), Oct. 2021
Alberto S. Cattaneo and Tatsuro Shimizu, A note on the Θ-invariant of 3-manifolds, Quantum Topology, Vol. 12(No. 1), pp.111-127, Mar. 2021
Tatsuro Shimizu, Multiframings of 3--manifolds, International Journal of Mathematics, Vol. 31(No. 8), pp 2050062-1--2050062-12, Jul. 2020
Tatsuro Shimizu, An invariant of rational homology 3-spheres via vector fields, Algebraic and Geometric Topology Vol. 16(No. 6), pp.3073-3101, Dec. 2016
Teruaki Kitano and Tatsuro Shimizu, Gluing formula for an invariant related to the Chern-Simons perturbation theory, arXiv:2306.09717, 2023, to appear in Annales de l'Institut Fourier
preprints
New! Tatsuro Shimizu, A Diagrammatic method for an invariant related to the Chern-Simons perturbation theory, arXiv:2406.08937 ,2024
RIMS Kokyuroku
Tatsuro Shimizu, Chern-Simons perturbation theoryand Reidemeister-Turaev torsion, RIMS Kokyuroku No.2163, pp.29-35, Jul. 2020
Tatsuro Shimizu, AN ALTERNATIVE CONSTRUCTION OF THE SU(2) CHERN-SIMONS PERTURBATION THEORY, RIMS Kokyuroku No.2062, pp.10-14, Apr. 2018
Tatsuro Shimizu, A variant of Chern--Simons perturbation theory, RIMS Kokyuroku No.1991, pp.154-157, Apr. 2016
Tatsuro Shimizu, An alternative construction of Kontsevich--Kuperberg--Thurston's universal finite type invariant of homology 3--spheres, RIMS Kokyuroku No.1911, pp.122-129, Aug. 2014
JSPS KAKENHI 18K13408（Grant-in-Aid for Early-Career Scientists,2018-)
JSPS KAKENHI15K13437(Approach to completion of the Chern-Simons perturbation theory, Grant-in-Aid for Challenging Exploratory Research, 2015～2018)