Papers (published/accepted)
- (with G. C. Thiang)
Crystallographic T-duality
Journal of Geometry and Physics. 139 (2019), 50-77.
- (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.
- (with G. De Nittis)
On the K-theoretic classification of dynamically stable systems.
Reviews in Mathematical Physics. Vol. 31, No. 01, 1950003 (2019)
- (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)
- (with G. De Nittis)
Chiral vector bundles.
Mathematische Zeitschrift. 290 (2018), no. 3-4, 775-830.
- (with G. De Nittis)
The FKMM-invariant in low dimension.
Letters in Mathematical Physics. 108 (2018), no. 5, 1225-1277.
- (with G. De Nittis)
The cohomological nature of the Fu-Kane-Mele invariant.
Journal of Geometry and Physics. 124 (2018), 124-164.
- (with G. C. Thiang and K. Sato)
Fu-Kane-Mele monopoles in semimetals.
Nuclear Physics. B 923 (2017), 107--125.
- (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 2-dimensional 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 time-reversal symmetric Bloch-bundles: the "Real" case.
Journal of Mathematical Physics. 57 (2016), no. 5, 053506, 49 pp.
- (with K. Shiozaki and M. Sato)
Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states.
Physical Review B 91, 155120 (2015)
- (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.
- (with G. De Nittis)
Classification of "Real" Bloch-bundles: Topological quantum systems of type AI.
Journal of Geometry and Physics. 86 (2014), 303-338.
-
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)
-
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 )
- (with Y. Terashima)
Chern-Weil construction for twisted K-theory.
Communications in Mathematical Physics. 299 (2010), no.1, 225--254.
-
Twisted K-theory and finite-dimensional approximation.
Communications in Mathematical Physics. 294 (2010), no. 3, 863--889.
(preprint version: 25 pages,
PDF )
-
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 )
- (with Y. Terashima)
Discrete torsion phases as topological actions.
Communications in Mathematical Physics. 287 (2009), no. 3, 889-901.
-
Differential characters and the Steenrod squares.
Advanced Studies in Pure Mathematics 52, 2008.
Groups of Diffeomorphisms. pp. 297-308.
(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. 235-247.
(preprint version: 9 pages,
PDF )
-
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 )
-
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 )
- 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 )
- Equivariant smooth Deligne cohomology.
Osaka Journal of Mathematics, Vol. 42 (2005), no. 2, 309--337.
(preprint version: 27 papges,
PDF )
- 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 )
- Connections and curvings on lifting bundle gerbes.
The Journal of the London Mathematical Society (2),
67 (2003), no. 2, 510--526.
- 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.
- (with Y. Terashima)
Higher-dimensional parallel transports.
Mathematical Research Letters, 8 (2001), no.1-2, 25--33.
- (with Y. Terashima)
A fiber integration formula for the smooth Deligne cohomology.
International Mathematics Research Notices, 2000, no.13, 699--708.
Preprints
(with Clément Tauber)
Eigenvalue crossings in Floquet topological systems
(30 pages)
Magnitude homology of geodesic space
(35 pages)
(with Ken Shiozaki and Charles Zhaoxi Xiong)
Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena
(64 pages)
Smoothness filtration of the magnitude complex
(26 pages, PDF )
(with G. De Nittis)
Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case
(34 pages)
(with K. Shiozaki and M. Sato)
Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups
(65 pages)
Freed-Moore K-theory
(60 pages, PDF )
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 )