Fetching the paper…
Reading the bibliography…
We define pseudo-Riemannian spectral triples, an analytic context broad enough to encompass a spectral description of a wide class of pseudo-Riemannian manifolds, as well as their noncommutative generalisations.
S. J. Bernau, The square root of a positive self-adjoint operator
1968
Earlier work this paper cites.
J. Bognár, Indefinite inner product spaces
1974
Earlier work this paper cites.
M. Reed and B. Simon, Volume I: Functional Analysis, Volume II: Fourier Analysis, Self-Adjointness
1980
Earlier work this paper cites.
H. Baum, Spin-Strukturen und Dirac-Operatoren über pseudo-Riemannschen Mannigfaltigkeiten
1981
Earlier work this paper cites.
N. Dunford, J. Schwartz, Linear Operators, Part II Spectral Theory
1988
Earlier work this paper cites.
J. Roe, An Index Theorem on Open Manifolds. I , J. Differential Geometry 27
1988
Earlier work this paper cites.
P. Baum, R. Douglas, M. Taylor, Cycles and relative cycles in analytic K K -homology
1989
Earlier work this paper cites.
H. B. Lawson and M. L. Michelsohn, Spin Geometry
1989
Earlier work this paper cites.
A. Connes Geometry from the spectral point of view
1995
Earlier work this paper cites.
A. Connes, H. Moscovici The local index formula in noncommutative geometry
1995
Cited alongside, same era.
A. Bikchentaev, On a property of L p L_{p} -spaces on semifinite von Neumann algebras , Mathematical Notes 64
1998
Cited alongside, same era.
N. Higson, J. Roe, Analytic K-Homology
2000
Cited alongside, same era.
M. Braverman, O. Milatovic, and M. Shubin, Essential self-adjointness of Schrödinger-type operators on manifolds
2002
Cited alongside, same era.
A. L. Carey, J. Phillips and F. A. Sukochev Spectral Flow and Dixmier Traces , Advances in Math. 173
2003
Cited alongside, same era.
N. Higson, The Local Index Formula in Noncommutative Geometry , Contemporary Developments in Algebraic K-Theory, ictp Lecture Notes, no. 15 (2003), 444–536
M-T. Benameur, T. Fack, Type II non-commutative geometry. I. Dixmier trace in von Neumann algebras
2006
Later among the works it cites.
A. Carey, J. Phillips, A. Rennie, F. Sukochev, The Local Index Theorem in Semifinite von Neumann Algebras I: Spectral Flow
2006
Later among the works it cites.
A. Carey, J. Phillips, A. Rennie, F. Sukochev, The Local Index Theorem in Semifinite von Neumann Algebras II: The Even Case
2006
Later among the works it cites.
D. Pask, A. Rennie, The Noncommutative Geometry of Graph C ∗ C^{*} -algebras I: the Index Theorem , J. Funct. Anal. 233
2006
Later among the works it cites.
A. Strohmaier, On noncommutative and pseudo-Riemannian geometry
2006
Later among the works it cites.
B.-L. Chen, P. G. LeFloch, Injectivity radius of Lorentzian manifolds
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2003
Cited alongside, same era.
A. L. Carey, J. Phillips, A. Rennie and F. A. Sukochev The Hochschild Class of the Chern Character of Semifinite Spectral Triples , J. Functional Analysis, 213
2004
Cited alongside, same era.
V. Gayral, J.M. Gracia-Bondía, B. Iochum, T. Schücker, J.C. Varilly, Moyal Planes are Spectral Triples , Comm. Math. Phys. 246
2004
Cited alongside, same era.
W. van Suijlekom, The noncommutative Lorentzian cylinder as an isospectral deformation
2004
Cited alongside, same era.
Cited in the paper.
M. Paschke, A. Sitarz, Equivariant Lorentzian spectral triples
Cited in the paper.
2008
Later among the works it cites.
D. Pask, A. Rennie, A. Sims, The Noncommutative Geometry of k k -graph C ∗ C^{*} -algebras , J. K K -Theory, 1
2008
Later among the works it cites.
B. Iochum, C. Levy, Spectral triples and manifolds with boundary
2011
Later among the works it cites.
A. Carey, V. Gayral, A. Rennie, F. Sukochev, Integration on locally compact noncommutative spaces
2012
Closest in time.