Patodi, Vijay Kumar

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 Author ID: patodi.vijay-kumar Published as: Patodi, V. K. External Links: MacTutor · MGP · Wikidata · GND · IdRef
 Documents Indexed: 16 Publications since 1971, including 1 Book 2 Further Contributions Biographic References: 3 Publications Co-Authors: 5 Co-Authors with 10 Joint Publications 246 Co-Co-Authors
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Co-Authors

 8 single-authored 8 Atiyah, Michael Francis 4 Singer, Isadore Manuel 3 Bott, Raoul Harry 1 Dodziuk, Jozef 1 Donnelly, Harold 1 Narasimhan, Mudumbai Seshachalu
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Serials

 3 Mathematical Proceedings of the Cambridge Philosophical Society 2 Inventiones Mathematicae 2 Journal of Differential Geometry 2 The Journal of the Indian Mathematical Society. New Series 1 Bulletin of the London Mathematical Society 1 Topology 1 Bulletin of the American Mathematical Society
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Fields

 14 Differential geometry (53-XX) 13 Global analysis, analysis on manifolds (58-XX) 4 Partial differential equations (35-XX) 4 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Algebraic topology (55-XX)

Citations contained in zbMATH Open

15 Publications have been cited 1,342 times in 932 Documents Cited by Year
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1975
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1976
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1975
Curvature and the eigenforms of the Laplace operator. Zbl 0211.53901
Patodi, V. K.
1971
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1973
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
1976
An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. Zbl 0219.53054
Patodi, V. K.
1971
Curvature and the fundamental solution of the heat operator. Zbl 0237.53039
Patodi, V. K.
1971
Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023
Donnelly, Harold; Patodi, V. K.
1977
Holomorphic Lefschetz fixed point formula. Zbl 0279.32015
Patodi, V. K.
1973
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1975
Riemannian structures and triangulations of manifolds. Zbl 0333.57008
Patodi, V. K.
1975
Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Zbl 0902.01034
Patodi, V. K.
1996
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
Collected papers of V. K. Patodi. Ed. and with a foreword by M. F. Atiyah and M. S. Narasimhan. Zbl 0902.01034
Patodi, V. K.
1996
Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023
Donnelly, Harold; Patodi, V. K.
1977
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1976
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
1976
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1975
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1975
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1975
Riemannian structures and triangulations of manifolds. Zbl 0333.57008
Patodi, V. K.
1975
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
1973
Holomorphic Lefschetz fixed point formula. Zbl 0279.32015
Patodi, V. K.
1973
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
1973
Curvature and the eigenforms of the Laplace operator. Zbl 0211.53901
Patodi, V. K.
1971
An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. Zbl 0219.53054
Patodi, V. K.
1971
Curvature and the fundamental solution of the heat operator. Zbl 0237.53039
Patodi, V. K.
1971
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Cited by 888 Authors

 29 Gilkey, Peter B. 20 Zhang, Weiping 17 Bismut, Jean-Michel 16 Freed, Daniel Stuart 14 Carey, Alan L. 11 Dai, Xianzhe 11 Park, Jinsung 10 Hu, Xijun 10 Loya, Paul A. 10 Ma, Xiaonan 10 Mathai, Varghese 10 Waterstraat, Nils 10 Wojciechowski, Krzysztof P. 9 Atiyah, Michael Francis 9 Lott, John 9 Ponge, Raphaël S. 9 Ruberman, Daniel 8 Booss-Bavnbek, Bernhelm 8 Brüning, Jochen 8 Donnelly, Harold 8 Lee, Yoonweon 8 Moroianu, Sergiu 8 Piazza, Paolo 7 Benameur, Moulay-Tahar 7 Carron, Gilles 7 Elmrabty, Adnane 7 Kirk, Paul A. 7 Lesch, Matthias 7 Moscovici, Henri 7 Saveliev, Nikolai 6 Bär, Christian 6 Braverman, Maxim 6 Portaluri, Alessandro 6 Rochon, Frédéric 6 Sukochev, Fedor Anatol’evich 6 Witten, Edward 5 Bunke, Ulrich 5 Kirsten, Klaus 5 Klimek, Slawomir 5 Lehrer, Gustav Isaac 5 Liu, Bo 5 Melrose, Richard Burt 5 Nagase, Masayoshi 5 Patodi, Vijay Kumar 5 Phillips, John 5 Podestá, Ricardo A. 5 Savale, Nikhil 5 Savin, Anton Yur’evich 5 Seeley, Robert Thomas 5 Singer, Isadore Manuel 5 Strohmaier, Alexander 5 Vassiliev, Dmitri G. 5 Wang, Hang 5 Zhang, Ruibin 4 Azamov, Nurulla A. 4 Ballmann, Hans Werner 4 Bytsenko, Andrei A. 4 Christiansen, Snorre Harald 4 DellaPietra, Stephen 4 DellaPietra, Vincent 4 Douglas, Ronald George 4 Gesztesy, Fritz 4 Grubb, Gerd 4 Himpel, Benjamin 4 Huang, Rung-Tzung 4 Hunsicker, Eugenie 4 Iwai, Toshihiro 4 Kaminker, Jerome 4 Kappeler, Thomas 4 Latushkin, Yuri 4 Leichtnam, Eric 4 Lescure, Jean-Marie 4 Liu, Kefeng 4 Miatello, Roberto Jorge 4 Monnier, Samuel 4 Morifuji, Takayuki 4 Müller, Werner 4 Nicolaescu, Liviu I. 4 Nistor, Victor 4 Pejsachowicz, Jacobo 4 Rennie, Adam 4 Schulze, Bert-Wolfgang 4 Spreafico, Mauro 4 Tarkhanov, Nikolai N. 4 Taubes, Clifford Henry 4 Wang, Yong 4 Wu, Fangbing 4 Yonekura, Kazuya 4 Zhilinskií, Boris I. 4 Zhu, Chaofeng 3 Albin, Pierre 3 Alvarez-Gaumé, Luis 3 Álvarez López, Jesús Antonio 3 Andersen, Jørgen Ellegaard 3 Antonini, Paolo 3 Awonusika, Richard Olu 3 Azzali, Sara 3 Boden, Hans U. 3 Branson, Thomas Patrick 3 Cheeger, Jeff ...and 788 more Authors
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Cited in 184 Serials

 75 Communications in Mathematical Physics 47 Journal of Functional Analysis 40 Journal of Geometry and Physics 39 Advances in Mathematics 34 Journal of Mathematical Physics 31 Transactions of the American Mathematical Society 29 Geometry & Topology 27 Inventiones Mathematicae 25 Journal of High Energy Physics 21 Mathematische Annalen 20 Annals of Global Analysis and Geometry 17 Mathematische Zeitschrift 15 Duke Mathematical Journal 14 Proceedings of the American Mathematical Society 14 Differential Geometry and its Applications 14 The Journal of Geometric Analysis 12 Letters in Mathematical Physics 12 Bulletin of the American Mathematical Society. New Series 11 Annales de l’Institut Fourier 11 Topology and its Applications 11 Geometric and Functional Analysis. GAFA 11 Journal of Noncommutative Geometry 9 International Journal of Mathematics 8 Compositio Mathematica 8 Journal of Differential Equations 8 Communications in Partial Differential Equations 7 International Journal of Modern Physics A 7 Mathematical Proceedings of the Cambridge Philosophical Society 7 Reviews in Mathematical Physics 7 $$K$$-Theory 7 Acta Mathematica Sinica. English Series 7 Algebraic & Geometric Topology 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Nuclear Physics. B 6 Journal für die Reine und Angewandte Mathematik 6 Tohoku Mathematical Journal. Second Series 6 Journal of Mathematical Sciences (New York) 6 Annales Henri Poincaré 5 Israel Journal of Mathematics 5 Bulletin de la Société Mathématique de France 5 Geometriae Dedicata 5 Nagoya Mathematical Journal 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Calculus of Variations and Partial Differential Equations 5 Journal of the European Mathematical Society (JEMS) 5 Journal of $$K$$-Theory 4 Rocky Mountain Journal of Mathematics 4 Theoretical and Mathematical Physics 4 Kodai Mathematical Journal 4 Journal of the American Mathematical Society 4 Communications in Contemporary Mathematics 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Journal of Fixed Point Theory and Applications 4 Journal of Pseudo-Differential Operators and Applications 4 Journal of Spectral Theory 3 Communications on Pure and Applied Mathematics 3 Mathematics of Computation 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Czechoslovak Mathematical Journal 3 Functional Analysis and its Applications 3 Publications Mathématiques 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Proceedings of the Japan Academy. Series A 3 Science in China. Series A 3 Acta Mathematica Sinica. New Series 3 Journal of Knot Theory and its Ramifications 3 Bulletin des Sciences Mathématiques 3 Missouri Journal of Mathematical Sciences 3 International Journal of Geometric Methods in Modern Physics 3 Journal of Topology and Analysis 3 São Paulo Journal of Mathematical Sciences 2 Bulletin of the Australian Mathematical Society 2 General Relativity and Gravitation 2 Journal d’Analyse Mathématique 2 Nonlinearity 2 Fortschritte der Physik 2 Acta Mathematica 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Bulletin of the London Mathematical Society 2 Indiana University Mathematics Journal 2 Integral Equations and Operator Theory 2 Journal of Differential Geometry 2 Journal of the Mathematical Society of Japan 2 Journal of Pure and Applied Algebra 2 Journal of Soviet Mathematics 2 Mathematika 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Siberian Mathematical Journal 2 Acta Applicandae Mathematicae 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Journal of Algebraic Combinatorics 2 Selecta Mathematica. New Series 2 Electronic Research Announcements of the American Mathematical Society ...and 84 more Serials
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Cited in 49 Fields

 621 Global analysis, analysis on manifolds (58-XX) 293 Differential geometry (53-XX) 191 Manifolds and cell complexes (57-XX) 174 Quantum theory (81-XX) 123 Partial differential equations (35-XX) 83 $$K$$-theory (19-XX) 71 Operator theory (47-XX) 51 Algebraic topology (55-XX) 50 Functional analysis (46-XX) 45 Algebraic geometry (14-XX) 45 Relativity and gravitational theory (83-XX) 38 Several complex variables and analytic spaces (32-XX) 34 Dynamical systems and ergodic theory (37-XX) 20 Number theory (11-XX) 20 Ordinary differential equations (34-XX) 19 Topological groups, Lie groups (22-XX) 12 Mechanics of particles and systems (70-XX) 11 Group theory and generalizations (20-XX) 10 Combinatorics (05-XX) 10 Nonassociative rings and algebras (17-XX) 10 Numerical analysis (65-XX) 9 Functions of a complex variable (30-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Special functions (33-XX) 7 Probability theory and stochastic processes (60-XX) 5 Category theory; homological algebra (18-XX) 5 Abstract harmonic analysis (43-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Sequences, series, summability (40-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

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