46. Magnitude homology of geodesic space
Algebraic & Geometric Topology. (to appear)
arXiv:1902.07044

45. (with Ken Shiozaki and Charles Zhaoxi Xiong) Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena.
Progress of Theoretical and Experimental Physics. (2023), no.8, Paper No. 083I01, 64 pp.
arXiv:1810.00801

44. (with Mayuko Yamashita) Differential KO-theory via gradations and mass terms.
Advances in Theoretical and Mathematical Physics. Volume 27 (2023) Number 2, pp.381--481.
arXiv:2111.01377

43. (with with G. De Nittis) A new light on the FKMM invariant and its consequences.
Journal of Mathematical Physics. 64 (2023), no.3, 033503, 21 pp.
arXiv:2211.07873

42. (with K. Shiozaki and M. Sato) Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups.
Physical Review B 106, 165103 (2022)
arXiv:1802.06694

41. (with G. De Nittis) Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case.
Algebraic & Geometric Topology. 23 (2023), no.7, 2925--2974.
arXiv:1809.05155

40. (with G. De Nittis) The cohomology invariant for class DIII topological insulators.
Annales Henri Poincaré 23 (2022), no.10, 3587--3632.
arXiv:2104.00603

39. (with G. C. Thiang) `Real' gerbes and Dirac cones of topological insulators.
Communications in Mathematical Physics. 388 (2021), no.3, 1507--1555.
arXiv:2103.05350

38. (with Yosuke Kubota and Guo Chuan Thiang) Twisted crystallograpic T-duality via the Baum--Connes isomorphism.
International Journal of Mathematics. Vol. 32, No. 10, 2150078 (2021)
arXiv:2102.00393

37. Homological bulk-edge correspondence for Weyl semimetal.
Progress of Theoretical and Experimental Physics. (2022), no.4, Paper No. 04A106, 29 pp.
arXiv:2101.00070

36. Freed-Moore K-theory.
Communications in Analysis and Geometry. Volume 31 (2023) Number 4, pp.979--1067.
arXiv:1705.09134

35. (with G. De Nittis and M. Moscolari) The Geometry of (non-Abelian) Landau levels.
Journal of Geometry and Physics. 152 (2020), 103649, 34 pp.
arXiv:1911.04786

34. Smoothness filtration of the magnitude complex.
Forum Mathematicum. 32 (2020), no. 3, 625--639.
arXiv:1809.06593

33. (with C. Tauber) Eigenvalue crossings in Floquet topological systems.
Letters in Mathematical Physics. 110, 465-500 (2020).
arXiv:1906.10358

32. (with G. C. Thiang) Crystallographic T-duality.
Journal of Geometry and Physics. 139 (2019), 50-77.
arXiv:1806.11385

31. (with G. C. Thiang) Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices.
Letters in Mathematical Physics. 109 (2019), no. 4, 857-904.
arXiv:1804.03945

30. (with G. De Nittis) On the K-theoretic classification of dynamically stable systems.
Reviews in Mathematical Physics. Vol. 31, No. 01, 1950003 (2019)
arXiv:1804.10111

29. (with K. Shiozaki, H. Shapourian and S. Ryu) Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries.
Physical Review B 98, 035151 (2018)
arXiv:1710.01886

28. (with G. De Nittis) Chiral vector bundles.
Mathematische Zeitschrift. 290 (2018), no. 3-4, 775-830.
arXiv:1504.04863

27. (with G. De Nittis) The FKMM-invariant in low dimension.
Letters in Mathematical Physics. 108 (2018), no. 5, 1225-1277.
arXiv:1702.04801

26. (with G. De Nittis) The cohomological nature of the Fu-Kane-Mele invariant.
Journal of Geometry and Physics. 124 (2018), 124-164.
arXiv:1603.09421

25. (with G. C. Thiang and K. Sato) Fu-Kane-Mele monopoles in semimetals.
Nuclear Physics. B 923 (2017), 107--125.
arXiv:1705.06657

24. (with K. Shiozaki and M. Sato) Topological Crystalline Materials -General Formulation, Module Structure, and Wallpaper Groups-.
Physical Review B 95, 235425 (2017)
arXiv:1701.08725

23. Twists on the torus equivariant under the 2-dimensional crystallographic point groups.
SIGMA. Symmetry, Integrability and Geometry. Methods and Applications. 13 (2017), 014, 38 pages.
arXiv:1509.09194

22. (with K. Shiozaki and M. Sato) Topology of nonsymmorphic crystalline insulators and superconductors.
Physical Review B 93, 195413 (2016)
arXiv:1511.01463

21. (with G. De Nittis) Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case.
Journal of Mathematical Physics. 57 (2016), no. 5, 053506, 49 pp.
arXiv:1502.01232

20. (with K. Shiozaki and M. Sato) Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states.
Physical Review B 91, 155120 (2015)
arXiv:1502.03265

19. (with G. De Nittis) Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII.
Communications in Mathematical Physics. 339 (2015), no.1, 1--55.
arXiv:1404.5804

18. (with G. De Nittis) Classification of "Real" Bloch-bundles: Topological quantum systems of type AI.
Journal of Geometry and Physics. 86 (2014), 303-338.
arXiv:1402.1284

17. A variant of K-theory and topological T-duality for Real circle bundles.
Communications in Mathematical Physics. 334 (2015), no.2, 923--975.
arXiv:1310.8446

16. Clifford modules, finite-dimensional approximation and twisted K-theory.
Journal of Mathematical Sciences, The University of Tokyo, 19 (2012), no.4, 587--612.

15. (with Y. Terashima) Chern-Weil construction for twisted K-theory.
Communications in Mathematical Physics. 299 (2010), no.1, 225--254.

14. Twisted K-theory and finite-dimensional approximation.
Communications in Mathematical Physics. 294 (2010), no. 3, 863--889.
arXiv:0803.2327

13. Projective unitary representations of smooth Deligne cohomology groups.
Journal of Geometry and Physics, Vol. 59 (2009), no. 9, 1339--1356.
arXiv:math/0510187

12. (with Y. Terashima) Discrete torsion phases as topological actions.
Communications in Mathematical Physics. 287 (2009), no. 3, 889-901.

11. Differential characters and the Steenrod squares.
Advanced Studies in Pure Mathematics 52, 2008. Groups of Diffeomorphisms. pp. 297-308.
arXiv:math/0411043

10. An analogue of the space of conformal blocks in (4k+2)-dimensions.
Advanced Studies in Pure Mathematics 55, 2009. Noncommutativity and Singularities. pp. 235-247.
arXiv:0705.3734

9. An approach toward a finite-dimensional definition of twisted K-theory.
Travaux mathématiques. Vol. XVII, 75--85, Trav. Math., 17, Fac. Sci. Technol. Commun. Univ. Luxemb., Luxembourg, 2007.
(proof version: 12 pages, DVI )

8. Representations of gauge transformation groups of higher abelian gerbes.
Noncommutative geometry and physics 2005, 55--69, World Sci. Publ., Hackensack, NJ, 2007.
(revised version to be published: 15 pages, PDF )

7. Central extensions of the gauge transformation groups of higher abelian gerbes.
Journal of Geometry and Physics, Vol. 56 (2006), no. 9, 1767--1781.
arXiv:hep-th/0504075

6. Equivariant smooth Deligne cohomology.
Osaka Journal of Mathematics, Vol. 42 (2005), no. 2, 309--337.
arXiv:math/0307373

5. Relationship between equivariant gerbes and gerbes over the quotient space.
Communications in Contemporary Mathematics, 7 (2005), no. 2, 207--226.
arXiv:math/0308032

4. Connections and curvings on lifting bundle gerbes.
The Journal of the London Mathematical Society (2), 67 (2003), no. 2, 510--526.
arXiv:math/0107175

3. The formulation of the Chern-Simons action for general compact Lie groups using Deligne cohomology.
Journal of Mathematical Sciences, The University of Tokyo, 8 (2001), no.2, 223--242.
arXiv:hep-th/0104183

2. (with Y. Terashima) Higher-dimensional parallel transports.
Mathematical Research Letters, 8 (2001), no.1-2, 25--33.

1. (with Y. Terashima) A fiber integration formula for the smooth Deligne cohomology.
International Mathematics Research Notices, 2000, no.13, 699--708.