Papers (published/accepted)
 (with Guo Chuan Thiang)
`Real' gerbes and Dirac cones of topological insulators.
Communications in Mathematical Physics. (to appear)
 (with Yosuke Kubota and Guo Chuan Thiang)
Twisted crystallograpic Tduality via the BaumConnes isomorphism.
International Journal of Mathematics. Vol. 32, No. 10, 2150078 (2021)

Homological bulkedge correspondence for Weyl semimetal.
Progress of Theoretical and Experimental Physics.
(published online)

FreedMoore Ktheory.
Communications in Analysis and Geometry. (accepted)
(preprint version: 61 pages, PDF ,
arXiv)
 (with G. De Nittis and M. Moscolari)
The Geometry of (nonAbelian) Landau levels.
Journal of Geometry and Physics. 152 (2020), 103649, 34 pp.

Smoothness filtration of the magnitude complex.
Forum Mathematicum. 32 (2020), no. 3, 625639.
(preprint version: 26 pages, PDF ,
arXiv)
 (with C. Tauber)
Eigenvalue crossings in Floquet topological systems.
Letters in Mathematical Physics. 110, 465500 (2020).
 (with G. C. Thiang)
Crystallographic Tduality.
Journal of Geometry and Physics. 139 (2019), 5077.
 (with G. C. Thiang)
Crystallographic bulkedge correspondence: glide reflections and twisted mod 2 indices.
Letters in Mathematical Physics. 109 (2019), no. 4, 857904.
 (with G. De Nittis)
On the Ktheoretic classification of dynamically stable systems.
Reviews in Mathematical Physics. Vol. 31, No. 01, 1950003 (2019)
 (with K. Shiozaki, H. Shapourian and S. Ryu)
Manybody topological invariants for fermionic shortrange entangled topological phases protected by antiunitary symmetries.
Physical Review B 98, 035151 (2018)
 (with G. De Nittis)
Chiral vector bundles.
Mathematische Zeitschrift. 290 (2018), no. 34, 775830.
 (with G. De Nittis)
The FKMMinvariant in low dimension.
Letters in Mathematical Physics. 108 (2018), no. 5, 12251277.
 (with G. De Nittis)
The cohomological nature of the FuKaneMele invariant.
Journal of Geometry and Physics. 124 (2018), 124164.
 (with G. C. Thiang and K. Sato)
FuKaneMele monopoles in semimetals.
Nuclear Physics. B 923 (2017), 107125.
 (with K. Shiozaki and M. Sato)
Topological Crystalline Materials General Formulation, Module Structure, and Wallpaper Groups.
Physical Review B 95, 235425 (2017)

Twists on the torus equivariant under the 2dimensional crystallographic point groups.
SIGMA. Symmetry, Integrability and Geometry. Methods and Applications.
13 (2017), 014, 38 pages.
 (with K. Shiozaki and M. Sato)
Topology of nonsymmorphic crystalline insulators and superconductors.
Physical Review B 93, 195413 (2016)
 (with G. De Nittis)
Differential geometric invariants for timereversal symmetric Blochbundles: the "Real" case.
Journal of Mathematical Physics. 57 (2016), no. 5, 053506, 49 pp.
 (with K. Shiozaki and M. Sato)
Z2topology in nonsymmorphic crystalline insulators: Mobius twist in surface states.
Physical Review B 91, 155120 (2015)
 (with G. De Nittis)
Classification of "Quaternionic" Blochbundles: Topological Quantum Systems of type AII.
Communications in Mathematical Physics. 339 (2015), no.1, 155.
 (with G. De Nittis)
Classification of "Real" Blochbundles: Topological quantum systems of type AI.
Journal of Geometry and Physics. 86 (2014), 303338.

A variant of Ktheory and topological Tduality for Real circle bundles.
Communications in Mathematical Physics. 334 (2015), no.2, 923975.
(preprint version: 49 pages, PDF,
errata)

Clifford modules, finitedimensional approximation and twisted Ktheory.
Journal of Mathematical Sciences, The University of Tokyo, 19 (2012), no.4, 587612.
(preprint version: 17 pages, PDF )
 (with Y. Terashima)
ChernWeil construction for twisted Ktheory.
Communications in Mathematical Physics. 299 (2010), no.1, 225254.

Twisted Ktheory and finitedimensional approximation.
Communications in Mathematical Physics. 294 (2010), no. 3, 863889.
(preprint version: 25 pages,
PDF )

Projective unitary representations of smooth Deligne cohomology groups.
Journal of Geometry and Physics, Vol. 59 (2009), no. 9, 13391356.
(preprint version: 25 pages,
PDF )
 (with Y. Terashima)
Discrete torsion phases as topological actions.
Communications in Mathematical Physics. 287 (2009), no. 3, 889901.

Differential characters and the Steenrod squares.
Advanced Studies in Pure Mathematics 52, 2008.
Groups of Diffeomorphisms. pp. 297308.
(preprint version: 10 pages,
PDF )

An analogue of the space of conformal blocks in (4k+2)dimensions.
Advanced Studies in Pure Mathematics 55, 2009.
Noncommutativity and Singularities. pp. 235247.
(preprint version: 9 pages,
PDF )

An approach toward a finitedimensional definition of twisted Ktheory.
Travaux mathématiques. Vol. XVII, 7585, Trav. Math., 17,
Fac. Sci. Technol. Commun. Univ. Luxemb., Luxembourg, 2007.
(proof version: 12 pages,
DVI )

Representations of gauge transformation groups of higher abelian gerbes.
Noncommutative geometry and physics 2005,
5569, World Sci. Publ., Hackensack, NJ, 2007.
(revised version to be published: 15 pages,
PDF )
 Central extensions of the gauge transformation groups of higher abelian gerbes.
Journal of Geometry and Physics, Vol. 56 (2006), no. 9, 17671781.
(preprint version: 18 pages,
PDF )
 Equivariant smooth Deligne cohomology.
Osaka Journal of Mathematics, Vol. 42 (2005), no. 2, 309337.
(preprint version: 27 papges,
PDF )
 Relationship between equivariant gerbes and gerbes over the quotient
space.
Communications in Contemporary Mathematics, 7 (2005), no. 2, 207226.
(preprint version: 21 pages,
PDF )
 Connections and curvings on lifting bundle gerbes.
The Journal of the London Mathematical Society (2), 67 (2003), no. 2, 510526.
 The formulation of the ChernSimons action for
general compact Lie groups using Deligne cohomology.
Journal of Mathematical Sciences, The University of Tokyo, 8 (2001), no.2, 223242.
 (with Y. Terashima)
Higherdimensional parallel transports.
Mathematical Research Letters, 8 (2001), no.12, 2533.
 (with Y. Terashima)
A fiber integration formula for the smooth Deligne cohomology.
International Mathematics Research Notices, 2000, no.13, 699708.
Expositions
Introduction to topological insulators from the viewpoint of topology. (Japanese)
Sugaku (to appear)
Twisted Ktheory. Sugaku Expositions 28 (2015), no. 2, 157187.
Twisted Ktheory. (Japanese) Sugaku 64 (2012), no. 1, 4774.
( errata )