Papers

  1. Q-manifolds and sigma models, to be published,
    Geometric Methods in Physics XLI, Workshop, Białystok, Poland, 2024 (2025) A Springer book series trends in mathematics

  2. Reduction of Poisson manifolds with Hamiltonian Lie algebroids,
    arXiv:2411.10969 [math.SG]
    (with Yuji Hirota)

  3. Comomentum sections and Poisson maps in Hamiltonian Lie algebroids,
    SIGMA (Symmetry, integrability and geometry: Methods and applications) 21 (2025) 003, arXiv:2405.03533 [math.SG]
    (with Yuji Hirota)

  4. Geometric BV for twisted Courant sigma models and the BRST power finesse,
    Journal of High Energy Physics 07 (2024) 115, arXiv:2401.00425 [hep-th]
    (with Athanasios Chatzistavrakidis, Larisa Jonke)

  5. Geometry of bundle-valued multisymplectic structures with Lie algebroids,
    Journal of Geometry and Physics 203 (2024) 105242, arXiv:2312.02499 [math.SG]
    (with Yuji Hirota)

  6. Hamilton Lie algebroids over Dirac structures and sigma models,
    arXiv:2309.10996 [math.DG]

  7. Compatible E-differential forms on Lie algebroids over (pre-)multisymplectic manifolds,
    SIGMA (Symmetry, integrability and geometry: Methods and applications) 20 (2024), 025, arXiv:2302.08193 [math.DG]

  8. Integration of Double Field Theory Algebroids and Pre-rackoid in Doubled Geometry,
    Lie Theory and Its Applications in Physics, pp 471-476,
    Springer Proceedings in Mathematics and Statistics book series (PROMS,volume 396(2022))
    (with Shin Sasaki)

  9. The BV action of 3D twisted R-Poisson sigma models,
    Journal of High Energy Physics 10 (2022) 02, arXiv:2206.03683 [hep-th]
    (with Athanasios Chatzistavrakidis, Grgur Šimunić)

  10. Homotopy momentum sections on multisymplectic manifolds,
    Journal of Geometry and Physics 182 (2022)104667, arXiv:2110.12305 [math.SG]
    (with Yuji Hirota)

  11. Higher dimensional Lie algebroid sigma model with WZ term,
    Universe 2021, 7(10), 391; in Special Issue: Dualities and Geometry, arXiv:2109.02858 [hep-th]

  12. Momentum section on Courant algebroid and constrained Hamiltonian mechanics,
    Journal of Geometry and Physics 170(2021)104350, arXiv:2104.12091 [math-ph]

  13. From BFV to BV and spacetime covariance,
    Journal of High Energy Physics 12(2020)141, arXiv:2007.15912 [hep-th]
    (with Thomas Strobl)

  14. Global Aspects of Doubled Geometry and Pre-rackoid,
    Journal of Mathematical Physics 62 (2021) 032306, arXiv:2006.08158 [math-ph]
    (with Shin Sasaki)

  15. BV and BFV for the H-twisted Poisson sigma model,
    Annales Henri Poincaré 22 (2021)1267-1316, https://doi.org/10.1007/s00023-020-00988-0, arXiv:1912.13511 [hep-th]
    (with Thomas Strobl)

  16. Momentum sections in Hamiltonian mechanics and sigma models,
    SIGMA (Symmetry, integrability and geometry: Methods and applications), 15 (2019), 076, arXiv:1905.02434 [math-ph]

  17. DFT in supermanifold formulation and group manifold as background geometry,
    Journal of High Energy Physics 04 (2019) 002, arXiv:1812.03464 [hep-th]
    (with Ursula Crow-Watamura, Tomokazu Kaneko, Satoshi Watamura)

  18. On the relation of Lie algebroids to constrained systems and their BV/BFV formulation,
    Annales Henri Poincaré, (2019) 20, 527-541, arXiv:1803.00080 [math-ph]
    (with Thomas Strobl)

  19. Courant algebroids from double field theory in supergeometry,
    Noncommutative Geometry and Physics 4 : 315-335, World scientific, Singapore, arXiv:1703.00638 [hep-th]
    (with Marc Andre Heller, Satoshi Watamura)

  20. Off-Shell Covariantization of Algebroid Gauge Theories,
    Progress of Theoretical and Experimental Physics, Volume 2017, Issue 8, 083B01 arXiv:1612.02612 [hep-th]
    (with Ursula Carow-Watamura, Marc Andre Heller, Tomokazu Kaneko, Satoshi Watamura)

  21. Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds,
    J. High Energy Phys. 1702 (2017) 078, arXiv:1611.08346 [hep-th]
    (with Marc Andre Heller, Satoshi Watamura)

  22. Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization,
    J. High Energy Phys. 1607 (2016) 125, arXiv:1606.03861 [hep-th]
    (with Ursula Carow-Watamura, Marc Andre Heller, Yukio Kaneko, Satoshi Watamura)

  23. Topological Membranes, Current Algebras and H-flux - R-flux Duality based on Courant Algebroids,
    J. High Energy Phys. 1604 (2016) 170, arXiv:1511.03425 [hep-th]
    (with Taiki Bessho, Marc A. Heller, Satoshi Watamura)

  24. Current Algebras from QP manifolds in general dimensions,
    Journal of Mathematical Physics 66 (2025) 012301, arXiv:1308.0100 [math-ph]
    (with Xiaomeng Xu)

  25. Canonical functions, differential graded symplectic pairs in supergeometry and Alexandrov-Kontsevich-Schwartz-Zaboronsky (AKSZ) sigma models with boundaries,
    Journal of Mathematical Physics 55 (2014) 113505, arXiv:1301.4805 [math.SG]
    (with Xiaomeng Xu)

  26. Lectures on AKSZ Sigma Models for Physicists,
    Noncommutative Geometry and Physics 4, Workshop on Strings, Membranes and Topological Field Theory: 79-169, World scientific, Singapore, arXiv:1204.3714 [hep-th]

  27. Current Algebras and QP Manifolds,
    International Journal of Geometric Methods in Modern Physics 10 (2013) 1350024, arXiv:1108.0473 [hep-th]
    (with K.Koizumi)

  28. Donaldson Invariants and Their Generalizations from AKSZ Topological Field Theories,
    arXiv:1104.2100 [hep-th]

  29. QP-Structures of Degree 3 and 4D Topological Field Theory,
    Commun.Math.Phys. 303 (2011) 317-330, arXiv:1004.0601 [hep-th]
    (with K.Uchino)

  30. Fermions in (Anti) de Sitter Gravity in Four Dimensions,
    Prog.Theor.Phys. 122 (2009) 339--353, arXiv:0904.1936 [hep-th]
    (with T.Fukuyama)

  31. An Alternative Topological Field Theory of Generalized Complex Geometry,
    J. High Energy Phys. 0709 (2007) 009, arXiv:0704.1015 [hep-th]
    (with T.Tokunaga)

  32. Topological Membranes with 3-Form H Flux on Generalized Geometries,
    Adv.Theor.Math.Phys. 12(2008) 1259--1281, arXiv:hep-th/0609098
    (with T.Tokunaga)

  33. Deformation of Batalin-Vilkovisky Structures,
    arXiv:math/0604157 [math.SG]

  34. Three Dimensional Topological Field Theory induced from Generalized Complex Structure,
    Int.J.Mod.Phys. A22(2007) 4679--4694, arXiv:hep-th/0412140

  35. Dimensional Reduction of Nonlinear Gauge Theories,
    J. High Energy Phys. 0409 (2004) 030, arXiv:hep-th/0407243
    (with Izawa K.-I.)

  36. Topological Field Theories and Geometry of Batalin-Vilkovisky Algebras,
    J. High Energy Phys. 0210 (2002) 076, arXiv:hep-th/0209042

  37. Chern-Simons Gauge Theory coupled with BF Theory,
    Int.J.Mod.Phys. A18(2003) 2689--2702, arXiv:hep-th/0203043

  38. Deformation of BF Theories, Topological Open Membrane and A Generalization of The Star Deformation,
    J. High Energy Phys. 0107 (2001) 037, arXiv:hep-th/0105286

  39. A Deformation of Three Dimensional BF Theory,
    J. High Energy Phys. 0011 (2000) 009, arXiv:hep-th/0010096

  40. Weyl Anomaly in Higher Dimensions and Feynman Rules in Coordinate Space,
    J.Math.Phys. 40 (1999) 2259--2290, arXiv:hep-th/9810256
    (with S.Ichinose)

  41. How to Solve Quantum Nonlinear Abelian Gauge Theory in Two Dimension in the Heisenberg Picture,
    Int.J.Mod.Phys. A13(1998) 3245--3254, arXiv:hep-th/9804054

  42. Weak Field Expansion of Gravity, Graphs, Matrices and Topology,
    Int.J.Mod.Phys. A14(1999) 2705--2744, arXiv:hep-th/9803238
    (with S.Ichinose)

  43. Operator Ordering Index Method for Multiple Commutators and Suzuki's Quantum Analysis,
    J.Math.Phys. 38 (1997) 547--555.
    (with M.Abe and N.Nakanishi)

  44. The Exact Solution of Born-Infeld Theory in Two Dimension,
    preprint RIMS-1141, arXiv:hep-th/9707045

  45. Graphical Classification of Global SO(n) Invariants and Independent General Invariants,
    J.Math.Phys. 38(1997) 6475--6521, arXiv:hep-th/9702003
    (with S.Ichinose)

  46. Gauge Symmetry of the Heat-Kernel and Anomaly Formulas,
    preprint DAMTP/96-87, arXiv:hep-th/9610136
    (with S.Ichinose)

  47. Weak Field Expansion of Gravity and Graphical Representation,
    preprint RIMS-1101(1996) arXiv:hep-th/9609013
    (with S.Ichinose)

  48. New Formulation of Anomaly, Anomaly Formula and Graphical Representation,
    Phys.Rev. D53 (1996) 5932--5951, [hep-th/9509073].
    (with S.Ichinose)

  49. Two-dimensional Gravity and Nonlinear Gauge Theory,
    Ann. Phys. 235 (1994) 435--464, arXiv:hep-th/9312059

  50. Gauge Theory based on Nonlinear Lie Superalgebras and Structure of 2D Dilaton Supergravity,
    Int.J.Mod.Phys. A9 (1994) 1137--1152.

  51. General Form of Dilaton Gravity and Nonlinear Gauge Theory,
    Prog.Theor.Phys. 90 (1993) 237--245, arXiv:hep-th/9304012
    (with Izawa K.-I.)

  52. Gauge Theory based on Quadratic Lie Algebras and 2D Gravity with Dynamical Torsion,
    Prog.Theor.Phys. 89 (1993) 1077--1085.
    (with Izawa K.-I.)

  53. Covariant Operator Formalism of Two-Dimensional Topological Gravity III,
    --- Wightman Functions ---
    preprint RIMS-895 (1992).

  54. Quantum Gravity with Dynamical Torsion in Two Dimension,
    Prog.Theor.Phys. 89 (1993) 223--230.
    (with Izawa K.-I.)

  55. Covariant Operator Formalism of Two-Dimensional Topological Gravity II,
    Mod.Phys.Lett. A7 (1992) 131--146.

  56. Covariant Operator Formalism of Two-Dimensional Topological Gravity,
    Int.J.Mod.Phys. A7 (1992) 3105--3132.

Proceedings

  1. Deformation of graded Poisson (Batalin-Vilkovisky) structures
    Poisson 2006, Poisson Geometry in Mathematics and Physics, Tokyo.

  2. Deformation of Batalin-Vilkovisky Structures,
    International Workshop on Noncommutative Geometry and Physics 2005, Tohoku Univ., Sendai [math.SG/0604157].

Proceedings (Japanese)

  1. 量子重力の共変演算子形式とトポロジカルな toy model,
    京都大学数理解析研究所講究録1524巻「場の量子論の研究」.

  2. ダイナミカルトーションを持った二次元重力のゲージ対称性,
    京都大学数理解析研究所講究録869巻「場の理論の基礎的諸問題」p.10-19.

  3. Symplectic Structures and Current Algebras on Mapping Spaces from QP Manifolds, [pdf]
    2011.11/9-11, 研究会「シンプレクティック幾何学とその周辺」予稿集、 岐阜経済大学

  4. 境界のあるシグマ模型に現れる寺嶋-Poisson 関数と南部-Poisson 構造 [pdf]
    2012.11/20-22, 研究会「シンプレクティック幾何学とその周辺」予稿集、 秋田大学

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