Papers (published/accepted)

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

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

  3. 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.

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

  5. (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.

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

  7. (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.

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

  9. A variant of K-theory and topological T-duality for Real circle bundles.
    Communications in Mathematical Physics. 334 (2015), no.2, 923--975.
    (preprint version: 49 pages, PDF, errata)

  10. Clifford modules, finite-dimensional approximation and twisted K-theory.
    Journal of Mathematical Sciences, The University of Tokyo, 19 (2012), no.4, 587--612.
    (preprint version: 17 pages, PDF )

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

  12. Twisted K-theory and finite-dimensional approximation.
    Communications in Mathematical Physics. 294 (2010), no. 3, 863--889.
    (preprint version: 25 pages, PDF )

  13. Projective unitary representations of smooth Deligne cohomology groups.
    Journal of Geometry and Physics, Vol. 59 (2009), no. 9, 1339--1356.
    (preprint version: 25 pages, PDF )

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

  15. Differential characters and the Steenrod squares.
    Advanced Studies in Pure Mathematics 52, 2008. Groups of Diffeomorphisms. pp. 297-308.
    (preprint version: 10 pages, PDF )

  16. 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.
    (preprint version: 9 pages, PDF )

  17. 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 )

  18. 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 )

  19. Central extensions of the gauge transformation groups of higher abelian gerbes.
    Journal of Geometry and Physics, Vol. 56 (2006), no. 9, 1767--1781.
    (preprint version: 18 pages, PDF )

  20. Equivariant smooth Deligne cohomology.
    Osaka Journal of Mathematics, Vol. 42 (2005), no. 2, 309--337.
    (preprint version: 27 papges, PDF )

  21. Relationship between equivariant gerbes and gerbes over the quotient space.
    Communications in Contemporary Mathematics, 7 (2005), no. 2, 207--226.
    (preprint version: 21 pages, PDF )

  22. Connections and curvings on lifting bundle gerbes.
    The Journal of the London Mathematical Society (2), 67 (2003), no. 2, 510--526.

  23. 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.

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

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

Preprints

  • (with K. Shiozaki, H. Shapourian and S. Ryu) Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries (83 pages)

  • Freed-Moore K-theory (60 pages, PDF )

  • (with G. De Nittis) The FKMM-invariant in low dimension (38 pages)

  • (with G. De Nittis) Topological nature of Fu-Kane-Mele invariants (49 pages)

  • (with G. De Nittis) Chiral vector bundles: A geometric model for class AIII topological quantum systems (46 pages)

  • Mickelsson's twisted K-theory invariant and its generalizations (45 pages, PDF )

  • A basis of the Atiyah-Segal invariant polynomials (12 pages, PDF )

  • Reduction of strongly equivariant bundle gerbes with connection and curving (47 pages, PDF )

    Exposition

  • Twisted K-theory. Sugaku Expositions 28 (2015), no. 2, 157-187.

  • Twisted K-theory. (Japanese) Sugaku 64 (2012), no. 1, 47-74. ( errata )