Hao Guo

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All published works

Action	Title	Year	Authors
+ PDF Chat	A higher index on finite-volume locally symmetric spaces	2024	Hao Guo Peter Hochs Hang Wang
+ PDF Chat	Quantitative K-Theory, Positive Scalar Curvature, and Bandwidth	2023	Hao Guo Zhizhang Xie Guoliang Yu
+ PDF Chat	Covering complexity, scalar curvature, and quantitative $K$-theory	2023	Hao Guo Guoliang Yu
+ PDF Chat	An equivariant Poincaré duality for proper cocompact actions by matrix groups	2022	Hao Guo Varghese Mathai
+ PDF Chat	Higher localised <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mover accent="true"><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>ˆ</mml:mo></mml:mrow></mml:mover></mml:math>-genera for proper actions and applications	2022	Hao Guo Varghese Mathai
+	A Lichnerowicz vanishing theorem for the maximal Roe algebra	2022	Hao Guo Zhizhang Xie Guoliang Yu
+ PDF Chat	Equivariant Callias index theory via coarse geometry	2021	Hao Guo Peter Hochs Varghese Mathai
+	Higher $\widehat{A}$-genera for proper actions and applications	2021	Hao Guo Varghese Mathai
+	Higher localised $\widehat{A}$-genera for proper actions and applications	2021	Hao Guo Varghese Mathai
+ PDF Chat	Positive scalar curvature and an equivariant Callias-type index theorem for proper actions	2021	Hao Guo Peter Hochs Varghese Mathai
+ PDF Chat	Functoriality for higher rho invariants of elliptic operators	2021	Hao Guo Zhizhang Xie Guoliang Yu
+ PDF Chat	Coarse geometry and Callias quantisation	2020	Hao Guo Peter Hochs Varghese Mathai
+	Functoriality for higher rho invariants of elliptic operators	2020	Hao Guo Zhizhang Xie Guoliang Yu
+	Generalized Aubry-André self-duality and Mobility edges in non-Hermitian quasi-periodic lattices	2020	Tong Liu Hao Guo Yong Pu Stefano Longhi
+	An equivariant Poincaré duality for proper cocompact actions by matrix groups	2020	Hao Guo M. Varghese
+	Quantitative K-theory, positive scalar curvature, and band width	2020	Hao Guo Zhizhang Xie Guoliang Yu
+ PDF Chat	Positive scalar curvature and Poincaré duality for proper actions	2019	Hao Guo Varghese Mathai Hang Wang
+ PDF Chat	Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature	2019	Hao Guo
+	Integral Solutions of Static Electromagnetic Potentials	2019	Weiwei Zhao Hao Jin Hao Guo
+	Equivariant Callias index theory via coarse geometry	2019	Hao Guo Peter Hochs Varghese Mathai
+ PDF Chat	POSITIVE SCALAR CURVATURE AND CALLIAS-TYPE INDEX THEOREMS FOR PROPER ACTIONS	2019	Hao Guo
+	A Lichnerowicz Vanishing Theorem for the Maximal Roe Algebra	2019	Hao Guo Zhizhang Xie Guoliang Yu
+	Equivalence of Two Methods to Solve Static Electromagnetic Potentials	2019	Weiwei Zhao Hao Jin Hao Guo
+	Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature	2018	Hao Guo
+	Spinc, K-homology and proper actions	2016	Hao Guo Varghese Mathai Hang Wang
+ PDF Chat	Effects of Imperfect Gate Operations in Shor's Prime Factorization Algorithm	2001	Hao Guo Gui‐Lu Long Yang Sun
+	Effects of Imperfect Gate Operations in Shor's Prime Factorization Algorithm	2000	Hao Guo Gui‐Lu Long Yang Sun

Common Coauthors

Coauthor	Papers Together
Varghese Mathai	10
Guoliang Yu	7
Zhizhang Xie	6
Peter Hochs	5
Hang Wang	3
Weiwei Zhao	2
Gui‐Lu Long	2
Hao Jin	2
Yong Pu	1
Tong Liu	1
Yang Sun	1
Yang Sun	1
M. Varghese	1
Stefano Longhi	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Classifying Space for Proper Actions and K-Theory of Group C*-algebras	2004	Paul Baum Alain Connes Nigel Higson	13
+ PDF Chat	A short proof of an index theorem	2001	Dan Kučerovský	11
+	Geometric quantization and families of inner products	2015	Peter Hochs Varghese Mathai	10
+ PDF Chat	Positive scalar curvature and the Dirac operator on complete riemannian manifolds	1983	Mikhael Gromov H. Blaine Lawson	10
+ PDF Chat	Positive Curvature, Partial Vanishing Theorems and Coarse Indices	2015	John Roe	9
+ PDF Chat	A K-theoretic relative index theorem and Callias-type Dirac operators	1995	Ulrich Bunke	9
+	On the Existence of Slices for Actions of Non-Compact Lie Groups	1961	Richard S. Palais	8
+	EquivariantKK-theory and the Novikov conjecture	1988	Gennadi Kasparov	8
+ PDF Chat	Quantising proper actions on $\mathrm{Spin}^c$-manifolds	2017	Peter Hochs Varghese Mathai	7
+	On the index of Callias-type operators	1993	Nicolae Anghel	7
+	Parallelizability of proper actions, globalK-slices and maximal compact subgroups	1974	Herbert Abels	7
+ PDF Chat	Index of Equivariant Callias-Type Operators and Invariant Metrics of Positive Scalar Curvature	2019	Hao Guo	7
+ PDF Chat	Axial anomalies and index theorems on open spaces	1978	Constantine J. Callias	7
+	An equivariant index for proper actions III: The invariant and discrete series indices	2016	Peter Hochs Yanli Song	6
+	C∗-algebras, positive scalar curvature, and the novikov conjecture—III	1986	Jonathan Rosenberg	6
+	Some remarks on the paper of Callias	1978	R. Bott R. Seeley	6
+ PDF Chat	The index theory on non-compact manifolds with proper group action	2015	Maxim Braverman	6
+	Cyclic cohomology, the Novikov conjecture and hyperbolic groups	1990	Alain Connes Henri Moscovici	6
+	Geometrization of the Strong Novikov Conjecture for residually finite groups	2008	Guihua Gong Qin Wang Guoliang Yu	6
+	Index Theory, Coarse Geometry, and Topology of Manifolds	1996	John Roe	5
+	Callias-type operators in C∗-algebras and positive scalar curvature on noncompact manifolds	2018	S. Cecchini	5
+ PDF Chat	Elliptic and transversally elliptic index theory from the viewpoint of $KK$-theory	2017	Gennadi Kasparov	5
+	The Novikov Conjecture for Groups with Finite Asymptotic Dimension	1998	Guoliang Yu	5
+	C*-algebras, positive scalar curvature, and the Novikov conjecture	1983	Jonathan Rosenberg	5
+ PDF Chat	Geometric quantization for proper actions	2010	Varghese Mathai Weiping Zhang	5
+ PDF Chat	Localized index and $L^2$-Lefschetz fixed-point formula for orbifolds	2016	Bai‐Ling Wang Hang Wang	5
+ PDF Chat	The coarse Baum–Connes conjecture for spaces which admit a uniform embedding into Hilbert space	2000	Guoliang Yu	5
+	Quantisation commutes with reduction at discrete series representations of semisimple groups	2009	Peter Hochs	5
+ PDF Chat	Equivariant collaring, tubular neighbourhood and gluing theorems for proper Lie group actions	2007	Marja Kankaanrinta	4
+	An equivariant index for proper actions I	2016	Peter Hochs Yanli Song	4
+ PDF Chat	On the Equivalence of Geometric and Analytic K-Homology	2007	Paul Baum Nigel Higson Thomas Schick	4
+ PDF Chat	$L^2$-index formula for proper cocompact group actions	2014	Hang Wang	4
+ PDF Chat	Delocalized eta invariants, cyclic cohomology and higher rho invariants	2023	Xiaoman Chen Jinmin Wang Zhizhang Xie Guoliang Yu	4
+ PDF Chat	Positive scalar curvature and Poincaré duality for proper actions	2019	Hao Guo Varghese Mathai Hang Wang	4
+	Delocalized eta invariants, algebraicity, and $K$-theory of group $C^*$-algebras	2018	Zhizhang Xie Guoliang Yu	4
+	A Lichnerowicz vanishing theorem for the maximal Roe algebra	2022	Hao Guo Zhizhang Xie Guoliang Yu	4
+	K-theory for discrete groups	1989	Paul Baum Alain Connes	4
+	Positive scalar curvature and a new index theory for noncompact manifolds	2019	Stanley Chang Shmuel Weinberger Guoliang Yu	4
+	L2-index for certain Dirac-Schrödinger operators	1992	Jochen Brüning Henri Moscovici	4
+	Index theory in spaces of noncompact manifolds I: Analytical foundations	2016	Johannes Ebert	4
+ PDF Chat	Coarse geometry and Callias quantisation	2020	Hao Guo Peter Hochs Varghese Mathai	4
+ PDF Chat	Positive scalar curvature and an equivariant Callias-type index theorem for proper actions	2021	Hao Guo Peter Hochs Varghese Mathai	4
+ PDF Chat	A local global principle for regular operators in Hilbert<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>C</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math>-modules	2012	Jens Kaad Matthias Lesch	4
+ PDF Chat	On quantitative operator K-theory	2015	Hervé Oyono‐Oyono Guoliang Yu	4
+ PDF Chat	Callias-Type Operators in von Neumann Algebras	2017	Maxim Braverman S. Cecchini	4
+ PDF Chat	Quantitative K-theory for Banach algebras	2017	Yeong Chyuan Chung	4
+ PDF Chat	Equivariant geometric K-homology for compact Lie group actions	2010	Paul Baum Hervé Oyono‐Oyono Thomas Schick Michael Walter	4
+ PDF Chat	Quantisation of presymplectic manifolds, $K$-theory and group representations	2015	Peter Hochs	3
+	An equivariant Atiyah-Patodi-Singer index theorem for proper actions	2019	Peter Hochs Bai‐Ling Wang Hang Wang	3
+ PDF Chat	Spin-structures and proper group actions	2016	Peter Hochs Varghese Mathai	3