Edit Profile (opens in new tab) Ashtekar, Abhay Co-Author Distance Author ID: ashtekar.abhay Published as: Ashtekar, Abhay; Ashtekar, A. External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 152 Publications since 1975, including 1 Book and 21 Additional arXiv Preprints 6 Contributions as Editor · 2 Further Contributions Co-Authors: 75 Co-Authors with 119 Joint Publications 1,249 Co-Co-Authors all top 5 Co-Authors 39 single-authored 20 Lewandowski, Jerzy 10 Corichi, Alejandro 6 Magnon-Ashtekar, Anne 5 Bonga, Béatrice 5 Marolf, Donald M. 5 Mourão, José M. 5 Pawlowski, Tomasz 5 Rovelli, Carlo 5 Singh, Parampreet 5 Sloan, David M. 5 Thiemann, Thomas 4 Agulló, Iván 4 Beetle, Christopher 4 Fairhurst, Stephen 4 Kesavan, Aruna 4 Khera, Neev 4 Krasnov, Kirill V. 4 Magnon, Anne M. R. 3 Bojowald, Martin 3 Campiglia, Miguel 3 De Lorenzo, Tommaso 3 Engle, Jonathan S. 3 Henderson, Adam 3 Isenberg, James A. 3 Krishnan, Badri 3 Smolin, Lee 3 Tate, Ranjeet S. 3 Van den Broeck, Chris 2 Baez, John C. 2 Berger, Beverly K. 2 Dreyer, Olaf 2 Ellis, George Francis Rayner 2 Gupt, Brajesh 2 Horowitz, Gary T. 2 Kolanowski, Maciej 2 MacCallum, Malcolm A. H. 2 Nelson, William 2 Olmedo, Javier 2 Pierri, Monica 2 Pretorius, Frans 2 Ramazanoğlu, Fethi M. 2 Schneider, Marc 2 Stachel, John 2 Sudarsky, Daniel 2 Uggla, Claes 2 Varadarajan, Madhavan 2 Winicour, Jeffrey 2 Wiśniewski, Jacek 1 Bahrami, Sina 1 Barrau, Aurelien 1 Benenti, Sergio 1 Bergmann, Peter Gabriel 1 Bombelli, Luca 1 Boyer, Charles P. 1 Brill, Dieter R. 1 Bunster, Claudio 1 Choquet-Bruhat, Yvonne 1 Clarke, C. J. S. 1 Das, Saurya 1 Davies, Paul C. W. 1 del Rio, Adrian 1 Deser, Stanley 1 d’Inverno, Ray A. 1 Ferrara, Sergio 1 Finley, James Daniel III 1 Flaherty, Edward J. jun. 1 Francaviglia, Mauro 1 Galloway, Gregory J. 1 Goenner, Hubert F. M. 1 Goldberg, Joshua N. 1 Grishchuk, Leonid P. 1 Hawking, Stephen William 1 Hehl, Friedrich W. 1 Hora, Heinrich 1 Husain, Viqar 1 Isham, Chris J. 1 Israel, Werner 1 Jacobson, Ted 1 Jang, Pong Soo 1 Kaminski, Wojciech 1 Komar, Arthur B. 1 Laddha, Alok 1 Liang, E. P. T. 1 Miller, John Charles 1 Narain, Kumar S. 1 Ne’man, Yuval 1 Nester, James M. 1 Newman, Ezra Theodore 1 Nitsch, Jürgen 1 Penrose, Roger 1 Petkov, Vesselin 1 Plebański, F. J. 1 Polnarev, Alexander G. 1 Pullin, Jorge A. 1 Reula, Oscar A. 1 Reuter, Martin 1 Romano, Joseph D. 1 Sachs, Rainer Kurt 1 Sahlmann, Hanno 1 Samuel, Joseph ...and 20 more Co-Authors all top 5 Serials 39 Classical and Quantum Gravity 13 Journal of Mathematical Physics 10 General Relativity and Gravitation 8 Physical Review Letters 6 Advances in Theoretical and Mathematical Physics 4 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Communications in Mathematical Physics 3 International Journal of Modern Physics D 2 Journal of Geometry and Physics 2 Journal of High Energy Physics 2 Physical Review D. Series III 2 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 2 Monographs and Textbooks in Physical Science. Lecture Notes 1 Physica A 1 Journal of Functional Analysis 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Annalen der Physik. 8th Series 1 Living Reviews in Relativity 1 Annales Henri Poincaré 1 Einstein Studies 1 100 Years of General Relativity 1 Cambridge Monographs on Mathematical Physics 1 Springer Handbooks all top 5 Fields 115 Relativity and gravitational theory (83-XX) 47 Differential geometry (53-XX) 47 Quantum theory (81-XX) 13 Global analysis, analysis on manifolds (58-XX) 9 Astronomy and astrophysics (85-XX) 7 General and overarching topics; collections (00-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 3 Topological groups, Lie groups (22-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 3 Mechanics of particles and systems (70-XX) 2 Partial differential equations (35-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 126 Publications have been cited 3,530 times in 1,826 Documents Cited by ▼ Year ▼ Background independent quantum gravity: a status report. Zbl 1077.83017 Ashtekar, Abhay; Lewandowski, Jerzy 310 2004 Loop quantum cosmology: a status report. Zbl 1230.83003 Ashtekar, Abhay; Singh, Parampreet 187 2011 Quantum geometry and black hole entropy. Zbl 0949.83024 Ashtekar, A.; Baez, J.; Corichi, A.; Krasnov, K. 170 1998 Quantum nature of the big bang: improved dynamics. Zbl 1197.83047 Ashtekar, Abhay; Pawlowski, Tomasz; Singh, Parampreet 166 2006 Quantum theory of geometry. I: Area operators. Zbl 0866.58077 Ashtekar, Abhay; Lewandowski, Jerzy 135 1997 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom. Zbl 0856.58006 Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 131 1995 Isolated and dynamical horizons and their applications. Zbl 1071.83036 Ashtekar, Abhay; Krishnan, Badri 110 2004 Asymptotically anti-de Sitter spacetimes: conserved quantities. Zbl 0943.83023 Ashtekar, Abhay; Das, Saurya 96 2000 Projective techniques and functional integration for gauge theories. Zbl 0844.58009 Ashtekar, Abhay; Lewandowski, Jerzy 88 1995 Quantum nature of the big bang. Zbl 1153.83417 Ashtekar, Abhay; Pawlowski, Tomasz; Singh, Parampreet 87 2007 Quantum geometry of isolated horizons and black hole entropy. Zbl 0981.83028 Ashtekar, Abhay; Baez, John C.; Krasnov, Kirill 76 2000 Weaving a classical metric with quantum threads. Zbl 0968.83510 Ashtekar, Abhay; Rovelli, Carlo; Smolin, Lee 65 1992 Asymptotics with a positive cosmological constant. I. Basic framework. Zbl 1307.83011 Ashtekar, Abhay; Bonga, Béatrice; Kesavan, Aruna 63 2015 Differential geometry on the space of connections via graphs and projective limits. Zbl 0851.53014 Ashtekar, Abhay; Lewandowski, Jerzy 63 1995 Geometrical formulation of quantum mechanics. Zbl 0976.53088 Ashtekar, Abhay; Schilling, Troy A. 60 1999 Quantum theory of geometry. II: Volume operators. Zbl 0903.58067 Ashtekar, Abhay; Lewandowsky, Jerzy 60 1997 Quantum fields in curved space-times. Zbl 0948.81612 Ashtekar, A.; Magnon, Anne 59 1975 Asymptotic quantization. Based on 1984 Naples lectures. Zbl 0621.53064 Ashtekar, Abhay 59 1987 Representations of the holonomy algebras of gravity and non-Abelian gauge theories. Zbl 0773.53033 Ashtekar, Abhay; Isham, Chris J. 54 1992 Quantum geometry and the Schwarzschild singularity. Zbl 1090.83021 Ashtekar, Abhay; Bojowald, Martin 53 2006 Black hole evaporation: a paradigm. Zbl 1160.83332 Ashtekar, Abhay; Bojowald, Martin 49 2005 Quantum gravity, shadow states and quantum mechanics. Zbl 1029.83015 Ashtekar, Abhay; Fairhurst, Stephen; Willis, Joshua L. 47 2003 Spatial infinity as a boundary of spacetime. Zbl 0749.53042 Ashtekar, A.; Romano, J. D. 45 1992 The covariant phase space of asymptotically flat gravitational fields. Zbl 0717.53056 Ashtekar, Abhay; Bombelli, Luca; Reula, Oscar 44 1991 Geometry and physics of null infinity. Zbl 1339.83002 Ashtekar, Abhay 44 2015 Geometry of generic isolated horizons. Zbl 0998.83012 Ashtekar, Abhay; Beetle, Christopher; Lewandowski, Jerzy 43 2002 Representation theory of analytic holonomy \(C^*\)-algebras. Zbl 0827.46055 Ashtekar, Abhay; Lewandowski, Jerzy 43 1994 Dynamical horizons: energy, angular momentum, fluxes, and balance laws. Zbl 1267.83023 Ashtekar, Abhay; Krishnan, Badri 43 2002 Loop quantum cosmology of \(k=1\) FRW models. Zbl 1197.83048 Ashtekar, Abhay; Pawlowski, Tomasz; Singh, Parampreet; Vandersloot, Kevin 43 2007 The pre-inflationary dynamics of loop quantum cosmology: confronting quantum gravity with observations. Zbl 1267.83031 Agullo, Ivan; Ashtekar, Abhay; Nelson, William 42 2013 Null infinity, the BMS group and infrared issues. Zbl 1403.83012 Ashtekar, Abhay; Campiglia, Miguel; Laddha, Alok 39 2018 Generic isolated horizons and their applications. Zbl 1369.83036 Ashtekar, Abhay; Beetle, Christopher; Dreyer, Olaf; Fairhurst, Stephen; Krishnan, Badri; Lewandowski, Jerzy; Wiśniewski, Jacek 36 2000 New perspectives in canonical gravity. With invited contributions. Zbl 0704.53056 35 1988 A new characterization of half-flat solutions to Einstein’s equation. Zbl 0642.53079 Ashtekar, Abhay; Jacobson, Ted; Smolin, Lee 34 1988 Quantum theory of geometry. III: Non-commutativity of Riemannian structures. Zbl 1026.83027 Ashtekar, Abhay; Corichi, Alejandro; Zapata, José A. 31 1998 Isolated horizons: a generalization of black hole mechanics. Zbl 0947.83027 Ashtekar, Abhay; Beetle, Christopher; Fairhurst, Stephen 31 1999 Mechanics of isolated horizons. Zbl 0948.83001 Ashtekar, Abhay; Beetle, Christopher; Fairhurst, Stephen 30 2000 On the symplectic structure of general relativity. Zbl 0504.53049 Ashtekar, Abhay; Magnon-Ashtekar, Anne 30 1982 Some uniqueness results for dynamical horizons. Zbl 1100.83016 Ashtekar, Abhay; Galloway, Gregory J. 28 2005 Loop quantum cosmology: An overview. Zbl 1177.83003 Ashtekar, Abhay 28 2009 Bianchi cosmologies: The role of spatial topology. Zbl 0733.53058 Ashtekar, Abhay; Samuel, Joseph 24 1991 An algebraic extension of Dirac quantization: Examples. Zbl 0820.58058 Ashtekar, Abhay; Tate, Ranjeet S. 23 1994 Probing quantum gravity through exactly soluble midi-superspaces. I. Zbl 0862.58060 Ashtekar, A.; Pierri, M. 22 1996 Multipole moments of isolated horizons. Zbl 1052.83005 Ashtekar, Abhay; Engle, Jonathan; Pawlowski, Tomasz; Van Den Broeck, Chris 22 2004 Loop quantum gravity. The first 30 years. Zbl 1367.83004 22 2017 Asymptotics and Hamiltonians in a first-order formalism. Zbl 1141.83005 Ashtekar, Abhay; Engle, Jonathan; Sloan, David 22 2008 Loop quantum cosmology: from pre-inflationary dynamics to observations. Zbl 1329.83203 Ashtekar, Abhay; Barrau, Aurélien 21 2015 Large quantum gravity effects: unforeseen limitations of the classical theory. Zbl 0949.83505 Ashtekar, Abhay 21 1996 Coherent state transforms for spaces of connections. Zbl 0837.22014 Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 20 1996 Information is not lost in the evaporation of 2D black holes. Zbl 1228.83055 Ashtekar, Abhay; Taveras, Victor; Varadarajan, Madhavan 20 2008 Gravitational waves from isolated systems: surprising consequences of a positive cosmological constant. Zbl 1356.83005 Ashtekar, Abhay; Bonga, Béatrice; Kesavan, Aruna 19 2016 General relativity and gravitation. One hundred years after the birth of Albert Einstein. Volumes 1, 2. Zbl 0537.00011 19 1980 Isolated horizons: The classical phase space. Zbl 0983.83017 Ashtekar, Abhay; Corichi, Alejandro; Krasnov, Kirill 18 1999 Probability of inflation in loop quantum cosmology. Zbl 1269.83065 Ashtekar, Abhay; Sloan, David 18 2011 NUT 4-momenta are forever. Zbl 0503.53025 Ashtekar, Abhay; Sen, Amitabha 18 1982 Isolated horizons in \(2+1\) gravity. Zbl 1031.83009 Ashtekar, Abhay; Dreyer, Olaf; Wiśniewski, Jacek 18 2002 Quantum horizons and black-hole entropy: inclusion of distortion and rotation. Zbl 1062.83050 Ashtekar, Abhay; Engle, Jonathan; Van Den Broeck, Chris 17 2005 Introduction to loop quantum gravity and cosmology. Zbl 1263.83002 Ashtekar, Abhay 15 2013 Isometries compatible with asymptotic flatness at null infinity: a complete description. Zbl 0425.53036 Ashtekar, Abhay; Xanthopoulos, Basilis C. 14 1978 Polymer and Fock representations for a scalar field. Zbl 1025.83501 Ashtekar, Abhay; Lewandowski, Jerzy; Sahlmann, Hanno 14 2003 Non-minimal couplings, quantum geometry and black-hole entropy. Zbl 1050.83014 Ashtekar, Abhay; Corichi, Alejandro 14 2003 Casting loop quantum cosmology in the spin foam paradigm. Zbl 1195.83091 Ashtekar, Abhay; Campiglia, Miguel; Henderson, Adam 14 2010 From i\(\circ\) to the \(3+1\) description of spatial infinity. Zbl 0559.53044 Ashtekar, Abhay; Magnon, Anne 13 1984 General relativity and gravitation. A centennial perspective. Zbl 1332.83005 13 2015 The large scale structure of space-time. 50th anniversary edition. With a foreword by Abhay Ashtekar and a new preface from George Ellis. Zbl 1505.83001 Hawking, Stephen W.; Ellis, George F. R. 13 2023 On the ambiguity in the notion of transverse traceless modes of gravitational waves. Zbl 1380.83012 Ashtekar, Abhay; Bonga, Béatrice 11 2017 Null infinity and Killing fields. Zbl 0451.53047 Ashtekar, Abhay 11 1980 Minisuperspaces: Observables and quantization. Zbl 0936.83503 Ashtekar, Abhay; Tate, Ranjeet; Uggla, Claes 11 1993 A loop representation for the quantum Maxwell field. Zbl 0991.83537 Ashtekar, Abhay; Rovelli, Carlo 11 1992 Geometric quantization and constrained systems. Zbl 0592.58035 Ashtekar, Abhay; Stillerman, Matthew 9 1986 Self-duality and spinorial techniques in the canonical approach to quantum gravity. Zbl 0616.53059 Ashtekar, Abhay 9 1986 Linkages and Hamiltonians at null infinity. Zbl 0497.53061 Ashtekar, Abhay; Winicour, Jeffrey 9 1982 Springer handbook of spacetime. Zbl 1295.83001 9 2014 On a basic conceptual confusion in gravitational radiation theory. Zbl 1380.83069 Ashtekar, Abhay; Bonga, Béatrice 8 2017 A geometrical approach to external potential problems in quantum field theory. Zbl 0452.53043 Ashtekar, Abhay; Magnon-Ashtekar, Anne 8 1980 Laws governing isolated horizons: Inclusion of dilaton couplings. Zbl 0983.83018 Ashtekar, Abhay; Corichi, Alejandro 8 2000 Hairy black holes, horizon mass and solitons. Zbl 0973.83035 Ashtekar, Abhay; Corichi, Alejandro; Sudarsky, Daniel 8 2001 Phenomenology with fluctuating quantum geometries in loop quantum cosmology. Zbl 1368.83074 Agullo, Ivan; Ashtekar, Abhay; Gupt, Brajesh 8 2017 Initial conditions for cosmological perturbations. Zbl 1358.83007 Ashtekar, Abhay; Gupt, Brajesh 8 2017 SU\((N)\) quantum Yang-Mills theory in two dimensions: a complete solution. Zbl 0891.53058 Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 8 1997 Non-minimally coupled scalar fields and isolated horizons. Zbl 1055.83026 Ashtekar, Abhay; Corichi, Alejandro; Sudarsky, Daniel 8 2003 Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism-invariant context. Zbl 0968.83019 Ashtekar, Abhay; Marolf, Donald; Mourão, José; Thiemann, Thomas 7 2000 100 years of relativity. Space-time structure: Einstein and beyond. Zbl 1084.83003 7 2005 On the uniqueness of kinematics of loop quantum cosmology. Zbl 1260.83037 Ashtekar, Abhay; Campiglia, Miguel 7 2012 On the relation between classical and quantum observables. Zbl 0426.58012 Ashtekar, Abhay 6 1980 Canonical quantum gravity. Zbl 0972.83541 Ashtekar, Abhay 6 1991 Relation between polymer and Fock excitations. Zbl 0991.83019 Ashtekar, Abhay; Lewandowski, Jerzy 6 2001 Completeness of Wilson loop functionals on the moduli space of \(SL(2,\mathbb{C})\) and \(SU(1,1)\) connections. Zbl 0774.58007 Ashtekar, Abhay; Lewandowski, Jerzy 6 1993 A generalization of tensor calculus and its applications to physics. Zbl 0491.53059 Ashtekar, Abhay; Horowitz, Gary T.; Magnon-Ashtekar, Anne 6 1982 Phase space of general relativity revisited: A canonical choice of time and simplification of the Hamiltonian. Zbl 0566.70017 Ashtekar, Abhay; Horowitz, Gary T. 6 1984 Non-expanding horizons: multipoles and the symmetry group. Zbl 1521.83082 Ashtekar, Abhay; Khera, Neev; Kolanowski, Maciej; Lewandowski, Jerzy 6 2022 Properties of a recent quantum extension of the Kruskal geometry. Zbl 1443.83020 Ashtekar, Abhay; Olmedo, Javier 6 2020 A technique for analyzing the structure of isometries. Zbl 0443.53047 Ashtekar, Abhay; Magnon-Ashtekar, Anne 5 1978 Conceptual problems of quantum gravity. Based on the proceedings of the 1988 Osgood Hill Conference held in North Andover, MA, USA, May 15-19, 1988. Zbl 0837.53060 5 1991 Charges and fluxes on (perturbed) non-expanding horizons. Zbl 1522.83005 Ashtekar, Abhay; Khera, Neev; Kolanowski, Maciej; Lewandowski, Jerzy 5 2022 Interface of general relativity, quantum physics and statistical mechanics: Some recent developments. Zbl 0977.83036 Ashtekar, A. 4 2000 Photon inner product and the Gauss-linking number. Zbl 0868.57008 Ashtekar, Abhay; Corichi, Alejandro 4 1997 Quantum geometry and its ramifications. Zbl 1104.83002 Ashtekar, Abhay 4 2005 Self duality and quantization. Zbl 0757.53037 Ashtekar, Abhay; Rovelli, Carlo; Smolin, Lee 4 1992 Hamiltonian general relativity and the Belinskii-Khalatnikov-Lifshitz conjecture. Zbl 1160.83302 Ashtekar, Abhay; Henderson, Adam; Sloan, David 4 2009 The large scale structure of space-time. 50th anniversary edition. With a foreword by Abhay Ashtekar and a new preface from George Ellis. Zbl 1505.83001 Hawking, Stephen W.; Ellis, George F. R. 13 2023 Non-expanding horizons: multipoles and the symmetry group. Zbl 1521.83082 Ashtekar, Abhay; Khera, Neev; Kolanowski, Maciej; Lewandowski, Jerzy 6 2022 Charges and fluxes on (perturbed) non-expanding horizons. Zbl 1522.83005 Ashtekar, Abhay; Khera, Neev; Kolanowski, Maciej; Lewandowski, Jerzy 5 2022 Space-like singularities of general relativity: a phantom menace? Zbl 1500.83034 Ashtekar, Abhay; del Río, Adrián; Schneider, Marc 3 2022 Probing the big bang with quantum fields. Zbl 1498.83049 Ashtekar, Abhay; De Lorenzo, Tommaso; Schneider, Marc 4 2021 Properties of a recent quantum extension of the Kruskal geometry. Zbl 1443.83020 Ashtekar, Abhay; Olmedo, Javier 6 2020 Compact binary coalescences: constraints on waveforms. Zbl 1465.83011 Ashtekar, Abhay; De Lorenzo, Tommaso; Khera, Neev 1 2020 Null infinity, the BMS group and infrared issues. Zbl 1403.83012 Ashtekar, Abhay; Campiglia, Miguel; Laddha, Alok 39 2018 Loop quantum gravity. The first 30 years. Zbl 1367.83004 22 2017 On the ambiguity in the notion of transverse traceless modes of gravitational waves. Zbl 1380.83012 Ashtekar, Abhay; Bonga, Béatrice 11 2017 On a basic conceptual confusion in gravitational radiation theory. Zbl 1380.83069 Ashtekar, Abhay; Bonga, Béatrice 8 2017 Phenomenology with fluctuating quantum geometries in loop quantum cosmology. Zbl 1368.83074 Agullo, Ivan; Ashtekar, Abhay; Gupt, Brajesh 8 2017 Initial conditions for cosmological perturbations. Zbl 1358.83007 Ashtekar, Abhay; Gupt, Brajesh 8 2017 Gravitational waves from isolated systems: surprising consequences of a positive cosmological constant. Zbl 1356.83005 Ashtekar, Abhay; Bonga, Béatrice; Kesavan, Aruna 19 2016 Asymptotics with a positive cosmological constant. I. Basic framework. Zbl 1307.83011 Ashtekar, Abhay; Bonga, Béatrice; Kesavan, Aruna 63 2015 Geometry and physics of null infinity. Zbl 1339.83002 Ashtekar, Abhay 44 2015 Loop quantum cosmology: from pre-inflationary dynamics to observations. Zbl 1329.83203 Ashtekar, Abhay; Barrau, Aurélien 21 2015 General relativity and gravitation. A centennial perspective. Zbl 1332.83005 13 2015 Response to Bryan Roberts: A new perspective on \(T\) violation. Zbl 1329.81028 Ashtekar, Abhay 2 2015 Springer handbook of spacetime. Zbl 1295.83001 9 2014 The last 50 years of general relativity and gravitation: from GR3 to GR20 Warsaw conferences. Zbl 1291.83001 Ashtekar, Abhay 1 2014 Loop quantum gravity and the Planck regime of cosmology. Zbl 1328.83001 Ashtekar, Abhay 1 2014 The pre-inflationary dynamics of loop quantum cosmology: confronting quantum gravity with observations. Zbl 1267.83031 Agullo, Ivan; Ashtekar, Abhay; Nelson, William 42 2013 Introduction to loop quantum gravity and cosmology. Zbl 1263.83002 Ashtekar, Abhay 15 2013 On the uniqueness of kinematics of loop quantum cosmology. Zbl 1260.83037 Ashtekar, Abhay; Campiglia, Miguel 7 2012 The issue of the beginning in quantum gravity. Zbl 1229.83004 Ashtekar, Abhay 1 2012 Loop quantum cosmology: a status report. Zbl 1230.83003 Ashtekar, Abhay; Singh, Parampreet 187 2011 Probability of inflation in loop quantum cosmology. Zbl 1269.83065 Ashtekar, Abhay; Sloan, David 18 2011 Casting loop quantum cosmology in the spin foam paradigm. Zbl 1195.83091 Ashtekar, Abhay; Campiglia, Miguel; Henderson, Adam 14 2010 Loop quantum cosmology: An overview. Zbl 1177.83003 Ashtekar, Abhay 28 2009 Hamiltonian general relativity and the Belinskii-Khalatnikov-Lifshitz conjecture. Zbl 1160.83302 Ashtekar, Abhay; Henderson, Adam; Sloan, David 4 2009 Some surprising implications of background independence in canonical quantum gravity. Zbl 1177.83068 Ashtekar, Abhay 4 2009 Asymptotics and Hamiltonians in a first-order formalism. Zbl 1141.83005 Ashtekar, Abhay; Engle, Jonathan; Sloan, David 22 2008 Information is not lost in the evaporation of 2D black holes. Zbl 1228.83055 Ashtekar, Abhay; Taveras, Victor; Varadarajan, Madhavan 20 2008 Action and Hamiltonians in higher-dimensional general relativity: First-order framework. Zbl 1152.83321 Ashtekar, Abhay; Sloan, David 3 2008 Loop quantum gravity: four recent advances and a dozen frequently asked questions. Zbl 1168.83007 Ashtekar, Abhay 2 2008 Quantum nature of the big bang. Zbl 1153.83417 Ashtekar, Abhay; Pawlowski, Tomasz; Singh, Parampreet 87 2007 Loop quantum cosmology of \(k=1\) FRW models. Zbl 1197.83048 Ashtekar, Abhay; Pawlowski, Tomasz; Singh, Parampreet; Vandersloot, Kevin 43 2007 Mechanics of higher dimensional black holes in asymptotically anti-de Sitter spacetimes. Zbl 1111.83053 Ashtekar, Abhay; Pawlowski, Tomasz; Van den Broeck, Chris 3 2007 Quantum nature of the big bang: improved dynamics. Zbl 1197.83047 Ashtekar, Abhay; Pawlowski, Tomasz; Singh, Parampreet 166 2006 Quantum geometry and the Schwarzschild singularity. Zbl 1090.83021 Ashtekar, Abhay; Bojowald, Martin 53 2006 Black hole evaporation: a paradigm. Zbl 1160.83332 Ashtekar, Abhay; Bojowald, Martin 49 2005 Some uniqueness results for dynamical horizons. Zbl 1100.83016 Ashtekar, Abhay; Galloway, Gregory J. 28 2005 Quantum horizons and black-hole entropy: inclusion of distortion and rotation. Zbl 1062.83050 Ashtekar, Abhay; Engle, Jonathan; Van Den Broeck, Chris 17 2005 100 years of relativity. Space-time structure: Einstein and beyond. Zbl 1084.83003 7 2005 Quantum geometry and its ramifications. Zbl 1104.83002 Ashtekar, Abhay 4 2005 Background independent quantum gravity: a status report. Zbl 1077.83017 Ashtekar, Abhay; Lewandowski, Jerzy 310 2004 Isolated and dynamical horizons and their applications. Zbl 1071.83036 Ashtekar, Abhay; Krishnan, Badri 110 2004 Multipole moments of isolated horizons. Zbl 1052.83005 Ashtekar, Abhay; Engle, Jonathan; Pawlowski, Tomasz; Van Den Broeck, Chris 22 2004 Quantum gravity, shadow states and quantum mechanics. Zbl 1029.83015 Ashtekar, Abhay; Fairhurst, Stephen; Willis, Joshua L. 47 2003 Polymer and Fock representations for a scalar field. Zbl 1025.83501 Ashtekar, Abhay; Lewandowski, Jerzy; Sahlmann, Hanno 14 2003 Non-minimal couplings, quantum geometry and black-hole entropy. Zbl 1050.83014 Ashtekar, Abhay; Corichi, Alejandro 14 2003 Non-minimally coupled scalar fields and isolated horizons. Zbl 1055.83026 Ashtekar, Abhay; Corichi, Alejandro; Sudarsky, Daniel 8 2003 Addressing challenges of quantum gravity through quantum geometry: black holes and big-bang. Zbl 1056.83013 Ashtekar, Abhay 2 2003 Geometry of generic isolated horizons. Zbl 0998.83012 Ashtekar, Abhay; Beetle, Christopher; Lewandowski, Jerzy 43 2002 Dynamical horizons: energy, angular momentum, fluxes, and balance laws. Zbl 1267.83023 Ashtekar, Abhay; Krishnan, Badri 43 2002 Isolated horizons in \(2+1\) gravity. Zbl 1031.83009 Ashtekar, Abhay; Dreyer, Olaf; Wiśniewski, Jacek 18 2002 The second black body problem: interface of general relativity, quantum theory and statistical mechanics. Zbl 1140.83369 Ashtekar, Abhay 3 2002 Quantum geometry and gravity: Recent advances. Zbl 1033.83017 Ashtekar, Abhay 1 2002 Hairy black holes, horizon mass and solitons. Zbl 0973.83035 Ashtekar, Abhay; Corichi, Alejandro; Sudarsky, Daniel 8 2001 Relation between polymer and Fock excitations. Zbl 0991.83019 Ashtekar, Abhay; Lewandowski, Jerzy 6 2001 Asymptotically anti-de Sitter spacetimes: conserved quantities. Zbl 0943.83023 Ashtekar, Abhay; Das, Saurya 96 2000 Quantum geometry of isolated horizons and black hole entropy. Zbl 0981.83028 Ashtekar, Abhay; Baez, John C.; Krasnov, Kirill 76 2000 Generic isolated horizons and their applications. Zbl 1369.83036 Ashtekar, Abhay; Beetle, Christopher; Dreyer, Olaf; Fairhurst, Stephen; Krishnan, Badri; Lewandowski, Jerzy; Wiśniewski, Jacek 36 2000 Mechanics of isolated horizons. Zbl 0948.83001 Ashtekar, Abhay; Beetle, Christopher; Fairhurst, Stephen 30 2000 Laws governing isolated horizons: Inclusion of dilaton couplings. Zbl 0983.83018 Ashtekar, Abhay; Corichi, Alejandro 8 2000 Constructing Hamiltonian quantum theories from path integrals in a diffeomorphism-invariant context. Zbl 0968.83019 Ashtekar, Abhay; Marolf, Donald; Mourão, José; Thiemann, Thomas 7 2000 Interface of general relativity, quantum physics and statistical mechanics: Some recent developments. Zbl 0977.83036 Ashtekar, A. 4 2000 Geometrical formulation of quantum mechanics. Zbl 0976.53088 Ashtekar, Abhay; Schilling, Troy A. 60 1999 Isolated horizons: a generalization of black hole mechanics. Zbl 0947.83027 Ashtekar, Abhay; Beetle, Christopher; Fairhurst, Stephen 31 1999 Isolated horizons: The classical phase space. Zbl 0983.83017 Ashtekar, Abhay; Corichi, Alejandro; Krasnov, Kirill 18 1999 Quantum field theory of geometry. Zbl 0978.83023 Ashtekar, Abhay; Lewandowski, Jerzy 1 1999 Quantum geometry and black hole entropy. Zbl 0949.83024 Ashtekar, A.; Baez, J.; Corichi, A.; Krasnov, K. 170 1998 Quantum theory of geometry. III: Non-commutativity of Riemannian structures. Zbl 1026.83027 Ashtekar, Abhay; Corichi, Alejandro; Zapata, José A. 31 1998 Symmetry reduced Einstein gravity and generalized \(\sigma\) and chiral models. Zbl 0936.83007 Ashtekar, Abhay; Husain, Viqar 2 1998 Geometry in color perception. Zbl 0982.53014 Ashtekar, Abhay; Corichi, Alejandro; Pierri, Monica 2 1998 Quantum geometry and black holes. Zbl 0948.83033 Ashtekar, Abhay; Krasnov, Kirill 1 1998 Quantum theory of geometry. I: Area operators. Zbl 0866.58077 Ashtekar, Abhay; Lewandowski, Jerzy 135 1997 Quantum theory of geometry. II: Volume operators. Zbl 0903.58067 Ashtekar, Abhay; Lewandowsky, Jerzy 60 1997 SU\((N)\) quantum Yang-Mills theory in two dimensions: a complete solution. Zbl 0891.53058 Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 8 1997 Photon inner product and the Gauss-linking number. Zbl 0868.57008 Ashtekar, Abhay; Corichi, Alejandro 4 1997 Probing quantum gravity through exactly soluble midi-superspaces. I. Zbl 0862.58060 Ashtekar, A.; Pierri, M. 22 1996 Large quantum gravity effects: unforeseen limitations of the classical theory. Zbl 0949.83505 Ashtekar, Abhay 21 1996 Coherent state transforms for spaces of connections. Zbl 0837.22014 Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 20 1996 Quantization of diffeomorphism invariant theories of connections with local degrees of freedom. Zbl 0856.58006 Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 131 1995 Projective techniques and functional integration for gauge theories. Zbl 0844.58009 Ashtekar, Abhay; Lewandowski, Jerzy 88 1995 Differential geometry on the space of connections via graphs and projective limits. Zbl 0851.53014 Ashtekar, Abhay; Lewandowski, Jerzy 63 1995 Mathematical problems of non-perturbative quantum general relativity. Zbl 0856.53073 Ashtekar, Abhay 1 1995 A manifestly gauge-invariant approach to quantum theories of gauge fields. Zbl 0834.58044 Ashtekar, Abhay; Lewandowski, Jerzy; Marolf, Donald; Mourão, José; Thiemann, Thomas 1 1995 Representation theory of analytic holonomy \(C^*\)-algebras. Zbl 0827.46055 Ashtekar, Abhay; Lewandowski, Jerzy 43 1994 An algebraic extension of Dirac quantization: Examples. Zbl 0820.58058 Ashtekar, Abhay; Tate, Ranjeet S. 23 1994 Minisuperspaces: Observables and quantization. Zbl 0936.83503 Ashtekar, Abhay; Tate, Ranjeet; Uggla, Claes 11 1993 Completeness of Wilson loop functionals on the moduli space of \(SL(2,\mathbb{C})\) and \(SU(1,1)\) connections. Zbl 0774.58007 Ashtekar, Abhay; Lewandowski, Jerzy 6 1993 Minisuperspaces: Symmetries and quantization. Zbl 0850.83031 Ashtekar, Abhay; Tate, Ranjeet; Uggla, Claes 1 1993 Weaving a classical metric with quantum threads. Zbl 0968.83510 Ashtekar, Abhay; Rovelli, Carlo; Smolin, Lee 65 1992 Representations of the holonomy algebras of gravity and non-Abelian gauge theories. Zbl 0773.53033 Ashtekar, Abhay; Isham, Chris J. 54 1992 Spatial infinity as a boundary of spacetime. Zbl 0749.53042 Ashtekar, A.; Romano, J. D. 45 1992 A loop representation for the quantum Maxwell field. Zbl 0991.83537 Ashtekar, Abhay; Rovelli, Carlo 11 1992 Self duality and quantization. Zbl 0757.53037 Ashtekar, Abhay; Rovelli, Carlo; Smolin, Lee 4 1992 Connections, loops and quantum general relativity. Zbl 0747.53056 Ashtekar, Abhay; Rovelli, Carlo 2 1992 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,079 Authors 40 Ashtekar, Abhay 25 Oriti, Daniele 25 Thiemann, Thomas 23 Rovelli, Carlo 22 Livine, Etera R. 21 Dittrich, Bianca 20 Lewandowski, Jerzy 18 Freidel, Laurent 16 Marolf, Donald M. 15 Bojowald, Martin 15 Gambini, Rodolfo 15 Gielen, Steffen 15 Pranzetti, Daniele 14 Corichi, Alejandro 14 Mann, Robert B. 14 Noui, Karim 14 Speziale, Simone 13 Singh, Parampreet 13 Wieland, Wolfgang M. 12 Campiglia, Miguel 12 Geiller, Marc 12 Han, Muxin 12 Mena Marugán, Guillermo A. 12 Pullin, Jorge A. 12 Sahlmann, Hanno 11 Liegener, Klaus 10 Bodendorfer, Norbert 10 Oikonomou, Vasilis K. 10 Yeom, Dong-Han 9 Carlip, Steven 9 Fleischhack, Christian 9 Jamil, Mubasher 9 Kubizňák, David 9 Liberati, Stefano 9 Ma, Yongge 9 Marmo, Giuseppe 9 Nozari, Kourosh 9 Okołów, Andrzej 9 Perez, Alejandro 9 Ruzziconi, Romain 9 Senovilla, José M. M. 9 Strominger, Andrew Eben 8 Aastrup, Johannes 8 Barbero G, J. Fernando 8 Bianchi, Eugenio 8 Coley, Alan Albert 8 Grimstrup, Jesper Møller 8 Hendi, Seyed Hossein 8 Henneaux, Marc 8 Kaminski, Wojciech 8 Mourão, José M. 8 Riello, Aldo 8 Sheykhi, Ahmad 8 Sudarsky, Daniel 8 Velhinho, José M. 8 Villaseñor, Eduardo J. S. 8 Visser, Matt 7 Berra-Montiel, Jasel 7 Christodoulakis, Theodosios 7 Engle, Jonathan S. 7 Faizal, Mir 7 Fuentealba, Oscar 7 Hall, Brian C. 7 Hanusch, Maximilian 7 Laddha, Alok 7 Lu, Hong 7 Molgado, Alberto 7 Münch, Johannes 7 Olmedo, Javier 7 Prabhu, Kartik 7 Troessaert, Cedric 7 Wilson-Ewing, Edward 6 Baez, John C. 6 Bonga, Béatrice 6 Chakraborty, Sumanta 6 Compère, Geoffrey 6 Dappiaggi, Claudio 6 Firouzjaee, Javad T. 6 Galloway, Gregory J. 6 Husain, Viqar 6 Kisielowski, Marcin 6 Kozameh, Carlos N. 6 Loll, Renate 6 Lusanna, Luca 6 Modesto, Leonardo 6 Montani, Giovanni 6 Newman, Ezra Theodore 6 Nielsen, Alex B. 6 Pope, Christopher N. 6 Rastgoo, Saeed 6 Reuter, Martin 6 Speranza, Antony J. 6 Terno, Daniel R. 6 Vacaru, Sergiu Ion 6 Varadarajan, Madhavan 6 Virmani, Amitabh 6 Zapata, José Antonio 5 Achour, Jibril Ben 5 Agulló, Iván 5 Anabalon, Andres ...and 1,979 more Authors all top 5 Cited in 107 Serials 288 Journal of High Energy Physics 281 Classical and Quantum Gravity 193 General Relativity and Gravitation 123 Journal of Mathematical Physics 81 International Journal of Modern Physics D 60 Physics Letters. 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Mathematics ...and 7 more Serials all top 5 Cited in 56 Fields 1,532 Relativity and gravitational theory (83-XX) 881 Quantum theory (81-XX) 355 Differential geometry (53-XX) 149 Mechanics of particles and systems (70-XX) 127 Global analysis, analysis on manifolds (58-XX) 103 Classical thermodynamics, heat transfer (80-XX) 88 Astronomy and astrophysics (85-XX) 78 Partial differential equations (35-XX) 77 Information and communication theory, circuits (94-XX) 53 Statistical mechanics, structure of matter (82-XX) 50 Functional analysis (46-XX) 45 Algebraic geometry (14-XX) 44 Manifolds and cell complexes (57-XX) 41 Topological groups, Lie groups (22-XX) 34 Nonassociative rings and algebras (17-XX) 33 Dynamical systems and ergodic theory (37-XX) 30 Optics, electromagnetic theory (78-XX) 22 Statistics (62-XX) 19 General and overarching topics; collections (00-XX) 19 Operator theory (47-XX) 18 History and biography (01-XX) 17 Several complex variables and analytic spaces (32-XX) 15 Algebraic topology (55-XX) 13 Fluid mechanics (76-XX) 12 Number theory (11-XX) 12 Geometry (51-XX) 11 Combinatorics (05-XX) 11 Measure and integration (28-XX) 10 General topology (54-XX) 8 Mathematical logic and foundations (03-XX) 8 Category theory; homological algebra (18-XX) 7 Abstract harmonic analysis (43-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Group theory and generalizations (20-XX) 6 Ordinary differential equations (34-XX) 6 Probability theory and stochastic processes (60-XX) 5 Associative rings and algebras (16-XX) 5 Special functions (33-XX) 5 Systems theory; control (93-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 Commutative algebra (13-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of deformable solids (74-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Integral transforms, operational calculus (44-XX) 1 Biology and other natural sciences (92-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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