Kiyonori Gomi

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All published works

Action	Title	Year	Authors
+ PDF Chat	Generalized homology and Atiyah–Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena	2023	Ken Shiozaki Charles Zhaoxi Xiong Kiyonori Gomi
+	A new light on the FKMM invariant and its consequences	2023	Giuseppe De Nittis Kiyonori Gomi
+ PDF Chat	Differential $KO$-theory via gradations and mass terms	2023	Kiyonori Gomi Mayuko Yamashita
+	A direct proof for the positive definiteness of four point metric spaces	2023	Kiyonori Gomi
+ PDF Chat	Atiyah-Hirzebruch spectral sequence in band topology: General formalism and topological invariants for 230 space groups	2022	Ken Shiozaki Masatoshi Sato Kiyonori Gomi
+	A new light on the FKMM invariant and its consequences	2022	Giuseppe De Nittis Kiyonori Gomi
+ PDF Chat	‘Real’ Gerbes and Dirac Cones of Topological Insulators	2021	Kiyonori Gomi Guo Chuan Thiang
+ PDF Chat	Twisted crystallographic T-duality via the Baum–Connes isomorphism	2021	Kiyonori Gomi Yosuke Kubota Guo Chuan Thiang
+	Twisted crystallograpic T-duality via the Baum--Connes isomorphism	2021	Kiyonori Gomi Yosuke Kubota Guo Chuan Thiang
+	Homological bulk-edge correspondence for Weyl semimetal	2021	Kiyonori Gomi
+	Differential $KO$-theory via gradations and mass terms	2021	Kiyonori Gomi Mayuko Yamashita
+	The cohomology invariant for class DIII topological insulators	2021	Giuseppe De Nittis Kiyonori Gomi
+ PDF Chat	Smoothness filtration of the magnitude complex	2020	Kiyonori Gomi
+ PDF Chat	Eigenvalue crossings in Floquet topological systems	2019	Kiyonori Gomi Clément Tauber
+	Differential characters and the Steenrod squares	2019	Kiyonori Gomi
+	An analogue of the space of conformal blocks in $(4k + 2)$-dimensions	2019	Kiyonori Gomi
+	Magnitude homology in low degree	2019	Kiyonori Gomi
+	Crystallographic T-duality	2019	Kiyonori Gomi Guo Chuan Thiang
+	Magnitude homology of geodesic space	2019	Kiyonori Gomi
+ PDF Chat	Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices	2018	Kiyonori Gomi Guo Chuan Thiang
+ PDF Chat	On the K-theoretic classification of dynamically stable systems	2018	Giuseppe De Nittis Kiyonori Gomi
+ PDF Chat	Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries	2018	Ken Shiozaki Hassan Shapourian Kiyonori Gomi Shinsei Ryu
+	Chiral vector bundles	2018	Giuseppe De Nittis Kiyonori Gomi
+	Smoothness filtration of the magnitude complex	2018	Kiyonori Gomi
+	Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena	2018	Ken Shiozaki Charles Zhaoxi Xiong Kiyonori Gomi
+	Differential geometric invariants for time-reversal symmetric Bloch-bundles II: The low dimensional "Quaternionic" case	2018	Giuseppe De Nittis Kiyonori Gomi
+ PDF Chat	The FKMM-invariant in low dimension	2017	Giuseppe De Nittis Kiyonori Gomi
+	The cohomological nature of the Fu–Kane–Mele invariant	2017	Giuseppe De Nittis Kiyonori Gomi
+	Fu–Kane–Mele monopoles in semimetals	2017	Guo Chuan Thiang Koji Sato Kiyonori Gomi
+ PDF Chat	Topological crystalline materials: General formulation, module structure, and wallpaper groups	2017	Ken Shiozaki Masatoshi Sato Kiyonori Gomi
+	Freed-Moore K-theory	2017	Kiyonori Gomi
+ PDF Chat	Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups	2017	Kiyonori Gomi
+ PDF Chat	Topology of nonsymmorphic crystalline insulators and superconductors	2016	Ken Shiozaki Masatoshi Sato Kiyonori Gomi
+ PDF Chat	Differential geometric invariants for time-reversal symmetric Bloch-bundles: The “Real” case	2016	Giuseppe De Nittis Kiyonori Gomi
+	Topological nature of Fu-Kane-Mele invariants	2016	Giuseppe De Nittis Kiyonori Gomi
+	The cohomological nature of the Fu-Kane-Mele invariant	2016	Giuseppe De Nittis Kiyonori Gomi
+	Chiral vector bundles: A geometric model for class AIII topological quantum systems	2015	Giuseppe De Nittis Kiyonori Gomi
+	Chiral vector bundles	2015	Giuseppe De Nittis Kiyonori Gomi
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>topology in nonsymmorphic crystalline insulators: Möbius twist in surface states	2015	Ken Shiozaki Masatoshi Sato Kiyonori Gomi
+	Chiral vector bundles	2015	Giuseppe De Nittis Kiyonori Gomi
+ PDF Chat	A Variant of K-Theory and Topological T-Duality for Real Circle Bundles	2014	Kiyonori Gomi
+	Classification of “Real” Bloch-bundles: Topological quantum systems of type AI	2014	Giuseppe De Nittis Kiyonori Gomi
+	Classification of "Quaternionic" Bloch-bundles: Topological Insulators of type AII	2014	Giuseppe De Nittis Kiyonori Gomi
+	Classification of "Quaternionic" Bloch-bundles: Topological Quantum Systems of type AII	2014	Giuseppe De Nittis Kiyonori Gomi
+	Clifford Modules, Finite-Dimensional Approximation and Twisted K-Theory	2013	Kiyonori Gomi
+	Mickelsson's twisted K-theory invariant and its generalizations	2013	Kiyonori Gomi
+	Chern-Weil Construction for Twisted K-Theory	2010	Kiyonori Gomi Yuji Terashima
+	A basis of the Atiyah-Segal invariant polynomials	2010	Kiyonori Gomi
+ PDF Chat	Twisted K-Theory and Finite-Dimensional Approximation	2009	Kiyonori Gomi
+	Projective unitary representations of smooth Deligne cohomology groups	2009	Kiyonori Gomi
+	Discrete Torsion Phases as Topological Actions	2009	Kiyonori Gomi Yuji Terashima
+	Representations of gauge transformation groups of higher abelian gerbes	2007	Kiyonori Gomi
+	An analogue of the space of conformal blocks in (4k+2)-dimensions	2007	Kiyonori Gomi
+	An approach toward a finite-dimensional definition of twisted K-theory	2007	Kiyonori Gomi
+ PDF Chat	Central extensions of gauge transformation groups of higher abelian gerbes	2005	Kiyonori Gomi
+	Equivariant smooth Deligne cohomology	2005	Kiyonori Gomi
+	RELATIONSHIP BETWEEN EQUIVARIANT GERBES AND GERBES OVER THE QUOTIENT SPACE	2005	Kiyonori Gomi
+	Projective unitary representations of smooth Deligne cohomology groups	2005	Kiyonori Gomi
+	Differential characters and the Steenrod squares	2004	Kiyonori Gomi
+	Reduction of strongly equivariant bundle gerbes with connection and curving	2004	Kiyonori Gomi
+ PDF Chat	CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES	2003	Kiyonori Gomi
+	Equivariant smooth Deligne cohomology	2003	Kiyonori Gomi
+	Relationship between equivariant gerbes and gerbes over the quotient space	2003	Kiyonori Gomi
+	The Formulation of the Chern-Simons Action for General Compact Lie Groups Using Deligne Cohomology	2001	Kiyonori Gomi
+	Gerbes in classical Chern-Simons theory	2001	Kiyonori Gomi
+ PDF Chat	Higher-dimensional parallel transports	2001	Kiyonori Gomi Yuji Terashima
+	The formulation of the Chern-Simons action for general compact Lie groups using Deligne cohomology	2001	Kiyonori Gomi
+	Connections and curvings on lifting bundle gerbes	2001	Kiyonori Gomi
+	None	2000	Kiyonori Gomi Yuji Terashima

Common Coauthors

Coauthor	Papers Together
Giuseppe De Nittis	17
Ken Shiozaki	7
Guo Chuan Thiang	6
Masatoshi Sato	4
Yuji Terashima	4
Mayuko Yamashita	2
Yosuke Kubota	2
Charles Zhaoxi Xiong	2
Shinsei Ryu	1
Hassan Shapourian	1
Koji Sato	1
Clément Tauber	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Differential Forms in Algebraic Topology	1982	Raoul Bott Loring W. Tu	28
+	Loop Spaces, Characteristic Classes and Geometric Quantization	1993	Jean-Luc Brylinski	22
+ PDF Chat	Twisted Equivariant Matter	2013	Daniel S. Freed Gregory W. Moore	20
+ PDF Chat	Periodic table for topological insulators and superconductors	2009	Alexei Kitaev Vladimir Lebedev M. V. Feigel’man	19
+ PDF Chat	On the K-Theoretic Classification of Topological Phases of Matter	2015	Guo Chuan Thiang	17
+ PDF Chat	A Variant of K-Theory and Topological T-Duality for Real Circle Bundles	2014	Kiyonori Gomi	16
+ PDF Chat	Classification of topological insulators and superconductors in three spatial dimensions	2008	Andreas P. Schnyder Shinsei Ryu Akira Furusaki Andreas W. W. Ludwig	15
+ PDF Chat	<i>Colloquium</i>: Topological insulators	2010	M. Zahid Hasan C. L. Kane	14
+	<i>K</i>-THEORY AND REALITY	1966	Michael Atiyah	14
+	The geometry of degree-four characteristic classes and of line bundles on loop spaces I	1994	Jean-Luc Brylinski D. A. McLaughlin	13
+	Algebraic topology	2001	Allen Hatcher	12
+ PDF Chat	Bulk-Edge Correspondence for Two-Dimensional Topological Insulators	2013	Gian Michele Graf Marcello Porta	12
+ PDF Chat	Loop groups and twisted <i>K</i> -theory I	2011	Daniel S. Freed Michael J. Hopkins Constantin Teleman	11
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>Topological Order and the Quantum Spin Hall Effect	2005	C. L. Kane E. J. Melé	11
+ PDF Chat	Controlled Topological Phases and Bulk-edge Correspondence	2016	Yosuke Kubota	10
+ PDF Chat	Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures	1997	Alexander Altland Martin R. Zirnbauer	10
+	Equivariant Homotopy and Cohomology Theory	1996	J. P. May Michael Cole Gustavo Comezana Steven R. Costenoble Anthony Elmendorf J. P. C. Greenlees L Lewis Robert Piacenza Georgia Triantafillou Stefan Waner	10
+	Classification of “Real” Bloch-bundles: Topological quantum systems of type AI	2014	Giuseppe De Nittis Kiyonori Gomi	10
+ PDF Chat	Differential geometric invariants for time-reversal symmetric Bloch-bundles: The “Real” case	2016	Giuseppe De Nittis Kiyonori Gomi	9
+ PDF Chat	Topological crystalline materials: General formulation, module structure, and wallpaper groups	2017	Ken Shiozaki Masatoshi Sato Kiyonori Gomi	9
+ PDF Chat	Continuous-trace algebras from the bundle theoretic point of view	1989	Jonathan Rosenberg	9
+	Cohomological Methods in Transformation Groups	1993	Christopher Allday Volker Puppe	9
+ PDF Chat	Symplectic Bundles and $KR$-Theory.	1969	Johan L. Dupont	9
+	Bundle gerbes	1994	Michael K. Murray	9
+ PDF Chat	Classification of topological insulators and superconductors in the presence of reflection symmetry	2013	Ching‐Kai Chiu Hong Yao Shinsei Ryu	8
+	Some Remarks on Chern Classes	1959	Franklin P. Peterson	8
+ PDF Chat	D-branes and K-theory	1998	Edward Witten	8
+	Construction de classes de Chern éguivariantes pour un fibré vectoriel Réel	1987	Bruno Kahn	8
+ PDF Chat	Higher-dimensional parallel transports	2001	Kiyonori Gomi Yuji Terashima	8
+	Twisted K-theory	2004	Michael Atiyah Graeme Segal	8
+ PDF Chat	Topological Crystalline Insulators	2011	Liang Fu	8
+ PDF Chat	Graded brauer groups and K-theory with local coefficients	1970	Peter Donovan M. Karoubi	8
+ PDF Chat	Topology of crystalline insulators and superconductors	2014	Ken Shiozaki Masatoshi Sato	7
+ PDF Chat	Topological insulators and superconductors: tenfold way and dimensional hierarchy	2010	Shinsei Ryu Andreas P. Schnyder Akira Furusaki Andreas W. W. Ludwig	7
+ PDF Chat	Topological classification with additional symmetries from Clifford algebras	2013	Takahiro Morimoto Akira Furusaki	7
+ PDF Chat	Index theory for skew-adjoint fredholm operators	1969	Michael Atiyah Isadore Manuel Singer	7
+ PDF Chat	Topological insulators and superconductors	2011	Xiao-Liang Qi Shou-Cheng Zhang	7
+ PDF Chat	Topological field theory of time-reversal invariant insulators	2008	Xiao‐Liang Qi Taylor L. Hughes Shou-Cheng Zhang	7
+ PDF Chat	Topological Insulators in Three Dimensions	2007	Liang Fu C. L. Kane E. J. Melé	7
+	Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals	2015	David Carpentier Pierre Delplace Michel Fruchart Krzysztof Gawędzki Clément Tauber	7
+	Floquet Theory for Partial Differential Equations	1993	Peter Kuchment	7
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>Z</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>topology in nonsymmorphic crystalline insulators: Möbius twist in surface states	2015	Ken Shiozaki Masatoshi Sato Kiyonori Gomi	7
+ PDF Chat	Homotopy theory of strong and weak topological insulators	2015	Ricardo Kennedy Charles Guggenheim	6
+ PDF Chat	Twisted K-Theory and K-Theory of Bundle Gerbes	2002	Peter Bouwknegt Alan L. Carey Varghese Mathai Michael K. Murray Danny Stevenson	6
+	Differential characters and geometric invariants	1985	Jeff Cheeger James Simons	6
+ PDF Chat	Heisenberg groups and noncommutative fluxes	2006	Daniel S. Freed Gregory W. Moore Graeme Segal	6
+ PDF Chat	Bulk and Boundary Invariants for Complex Topological Insulators	2016	Emil Prodan Hermann Schulz‐Baldes	6
+ PDF Chat	Bundle Gerbes: Stable Isomorphism and Local Theory	2000	Michael K. Murray Daniel Stevenson	6
+ PDF Chat	Topology of nonsymmorphic crystalline insulators and superconductors	2016	Ken Shiozaki Masatoshi Sato Kiyonori Gomi	6
+	The cohomological nature of the Fu–Kane–Mele invariant	2017	Giuseppe De Nittis Kiyonori Gomi	6