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Patodi, Vijay Kumar (b. 1945 d. 1976)

Author ID: patodi.vijay-kumar Recent zbMATH articles by "Patodi, Vijay Kumar"
Published as: Patodi, V. K.
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Documents Indexed: 16 Publications since 1971, including 1 Book
Biographic References: 6 Publications
Co-Authors: 5 Co-Authors with 10 Joint Publications
247 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

16 Publications have been cited 1,636 times in 1,122 Documents Cited by Year
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
571
1975
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
370
1976
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
214
1973
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
213
1975
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
61
1973
Curvature and the eigenforms of the Laplace operator. Zbl 0211.53901
Patodi, V. K.
60
1971
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
42
1976
An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. Zbl 0219.53054
Patodi, V. K.
33
1971
Curvature and the fundamental solution of the heat operator. Zbl 0237.53039
Patodi, V. K.
27
1971
Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023
Donnelly, Harold; Patodi, V. K.
14
1977
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
12
1975
Holomorphic Lefschetz fixed point formula. Zbl 0279.32015
Patodi, V. K.
10
1973
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
3
1973
Riemannian structures and triangulations of manifolds. Zbl 0333.57008
Patodi, V. K.
3
1975
A combinatorial formula for Pontrjagin classes. Zbl 0356.57002
Patodi, V. K.
2
1976
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.
1
1996
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.
1
1996
Spectrum and the fixed point sets of isometries. II. Zbl 0341.53023
Donnelly, Harold; Patodi, V. K.
14
1977
Spectral asymmetry and Riemannian geometry. III. Zbl 0325.58015
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
370
1976
Riemannian structures and triangulations of manifolds. Zbl 0435.58004
Dodziuk, J.; Patodi, V. K.
42
1976
A combinatorial formula for Pontrjagin classes. Zbl 0356.57002
Patodi, V. K.
2
1976
Spectral asymmetry and Riemannian geometry. I. Zbl 0297.58008
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
571
1975
Spectral asymmetry and Riemannian geometry. II. Zbl 0314.58016
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
213
1975
Errata to the paper: On the heat equation and the index theorem. Zbl 0301.58018
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
12
1975
Riemannian structures and triangulations of manifolds. Zbl 0333.57008
Patodi, V. K.
3
1975
On the heat equation and the index theorem. Zbl 0257.58008
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
214
1973
Spectral asymmetry and Riemannian geometry. Zbl 0268.58010
Atiyah, Michael F.; Patodi, V. K.; Singer, I. M.
61
1973
Holomorphic Lefschetz fixed point formula. Zbl 0279.32015
Patodi, V. K.
10
1973
On the heat equation and the index theorem. Zbl 0364.58016
Atiyah, Michael; Bott, Raoul; Patodi, V. K.
3
1973
Curvature and the eigenforms of the Laplace operator. Zbl 0211.53901
Patodi, V. K.
60
1971
An analytic proof of Riemann-Roch-Hirzebruch theorem for Kaehler manifolds. Zbl 0219.53054
Patodi, V. K.
33
1971
Curvature and the fundamental solution of the heat operator. Zbl 0237.53039
Patodi, V. K.
27
1971
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Cited by 1,090 Authors

29 Gilkey, Peter B.
20 Zhang, Weiping
18 Bismut, Jean-Michel
17 Freed, Daniel Stuart
16 Carey, Alan L.
13 Dai, Xianzhe
13 Ruberman, Daniel
12 Park, Jinsung
12 Waterstraat, Nils
11 Hu, Xijun
11 Loya, Paul A.
11 Ma, Xiaonan
11 Mathai, Varghese
11 Piazza, Paolo
10 Saveliev, Nikolai
10 Wojciechowski, Krzysztof P.
9 Atiyah, Michael Francis
9 Benameur, Moulay-Tahar
9 Brüning, Jochen
9 Lott, John
9 Ponge, Raphaël S.
9 Savin, Anton Yur’evich
9 Vassilevich, Dmitri V.
8 Booss-Bavnbek, Bernhelm
8 Donnelly, Harold
8 Elmrabty, Adnane
8 Lee, Yoonweon
8 Lesch, Matthias
8 Moroianu, Sergiu
8 Yonekura, Kazuya
7 Bär, Christian
7 Braverman, Maxim
7 Carron, Gilles
7 Kirk, Paul A.
7 Moscovici, Henri
7 Sukochev, Fedor Anatol’evich
7 Wang, Hang
6 Kirsten, Klaus
6 Lescure, Jean-Marie
6 Liu, Bo
6 Nagase, Masayoshi
6 Portaluri, Alessandro
6 Rochon, Frédéric
6 Vassiliev, Dmitri G.
6 Witten, Edward
5 Azamov, Nurulla A.
5 Bunke, Ulrich
5 Bytsenko, Andrei A.
5 DellaPietra, Stephen
5 Klimek, Slawomir
5 Lehrer, Gustav Isaac
5 Melrose, Richard Burt
5 Monnier, Samuel
5 Morifuji, Takayuki
5 Patodi, Vijay Kumar
5 Phillips, John
5 Podestá, Ricardo A.
5 Rennie, Adam
5 Savale, Nikhil
5 Schulz-Baldes, Hermann
5 Seeley, Robert Thomas
5 Singer, Isadore Manuel
5 Strohmaier, Alexander
5 Taubes, Clifford Henry
5 Vertman, Boris
5 Zhang, Ruibin
5 Zhilinskií, Boris I.
4 Albin, Pierre
4 Alvarez-Gaumé, Luis
4 Ballmann, Hans Werner
4 Bandara, Lashi
4 Christiansen, Snorre Harald
4 DellaPietra, Vincent
4 Douglas, Ronald George
4 Fujikawa, Kazuo
4 Gamboa Saravi, Ricardo Enrique
4 Gesztesy, Fritz
4 Gover, Ashwin Rod
4 Grubb, Gerd
4 Himpel, Benjamin
4 Huang, Rung-Tzung
4 Hunsicker, Eugenie
4 Iwai, Toshihiro
4 Kaminker, Jerome
4 Kappeler, Thomas
4 Kim, Eui Chul
4 Konno, Hokuto
4 Latushkin, Yuri
4 Leichtnam, Eric
4 Levitina, Galina Borisovna
4 Lin, Jianfeng
4 Liu, Kefeng
4 Miatello, Roberto Jorge
4 Moore, Gregory Winthrop
4 Müller, Werner
4 Nicolaescu, Liviu I.
4 Nistor, Victor
4 Pejsachowicz, Jacobo
4 Santangelo, Eve Mariel
4 Schulze, Bert-Wolfgang
...and 990 more Authors
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Cited in 208 Serials

75 Communications in Mathematical Physics
51 Journal of Functional Analysis
51 Journal of High Energy Physics
43 Advances in Mathematics
42 Journal of Geometry and Physics
37 Journal of Mathematical Physics
36 Geometry & Topology
31 Transactions of the American Mathematical Society
27 Inventiones Mathematicae
22 Nuclear Physics. B
21 Mathematische Annalen
21 Mathematische Zeitschrift
21 Annals of Global Analysis and Geometry
16 Duke Mathematical Journal
16 The Journal of Geometric Analysis
15 Differential Geometry and its Applications
14 Letters in Mathematical Physics
14 Proceedings of the American Mathematical Society
14 Journal of Noncommutative Geometry
13 Topology and its Applications
12 Bulletin of the American Mathematical Society. New Series
11 Annales de l’Institut Fourier
11 Geometric and Functional Analysis. GAFA
10 Algebraic & Geometric Topology
9 International Journal of Modern Physics A
9 Reviews in Mathematical Physics
9 International Journal of Mathematics
9 Communications in Partial Differential Equations
8 Compositio Mathematica
8 Journal of Differential Equations
8 Journal für die Reine und Angewandte Mathematik
8 Annals of Physics
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Physics Letters. B
7 \(K\)-Theory
7 Calculus of Variations and Partial Differential Equations
7 Journal of Mathematical Sciences (New York)
7 Acta Mathematica Sinica. English Series
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Geometriae Dedicata
6 Tôhoku Mathematical Journal. Second Series
6 Annales Henri Poincaré
6 Journal of Spectral Theory
6 Annals of \(K\)-Theory
5 Israel Journal of Mathematics
5 Bulletin de la Société Mathématique de France
5 Indiana University Mathematics Journal
5 Journal of Differential Geometry
5 Mathematische Nachrichten
5 Nagoya Mathematical Journal
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Fixed Point Theory and Applications
5 Journal of \(K\)-Theory
4 Rocky Mountain Journal of Mathematics
4 Theoretical and Mathematical Physics
4 Fortschritte der Physik
4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
4 Kodai Mathematical Journal
4 Journal of the American Mathematical Society
4 Journal of Knot Theory and its Ramifications
4 Bulletin des Sciences Mathématiques
4 Communications in Contemporary Mathematics
4 Journal of Physics A: Mathematical and Theoretical
4 Journal of Topology and Analysis
4 Journal of Pseudo-Differential Operators and Applications
3 Communications on Pure and Applied Mathematics
3 Journal of Mathematical Analysis and Applications
3 Mathematical Notes
3 Physics Reports
3 Mathematics of Computation
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Bulletin of the London Mathematical Society
3 Czechoslovak Mathematical Journal
3 Functional Analysis and its Applications
3 Publications Mathématiques
3 Integral Equations and Operator Theory
3 Journal of the Mathematical Society of Japan
3 Journal of Pure and Applied Algebra
3 Manuscripta Mathematica
3 Memoirs of the American Mathematical Society
3 Michigan Mathematical Journal
3 Proceedings of the Japan Academy. Series A
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Advances in Applied Mathematics
3 Science in China. Series A
3 Acta Mathematica Sinica. New Series
3 Selecta Mathematica. New Series
3 Missouri Journal of Mathematical Sciences
3 International Journal of Geometric Methods in Modern Physics
3 Operators and Matrices
3 Journal of Topology
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 Reports on Mathematical Physics
2 Acta Mathematica
...and 108 more Serials
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Cited in 53 Fields

714 Global analysis, analysis on manifolds (58-XX)
332 Differential geometry (53-XX)
248 Quantum theory (81-XX)
219 Manifolds and cell complexes (57-XX)
153 Partial differential equations (35-XX)
96 \(K\)-theory (19-XX)
86 Operator theory (47-XX)
65 Relativity and gravitational theory (83-XX)
58 Algebraic topology (55-XX)
54 Algebraic geometry (14-XX)
54 Functional analysis (46-XX)
40 Several complex variables and analytic spaces (32-XX)
39 Dynamical systems and ergodic theory (37-XX)
24 Ordinary differential equations (34-XX)
22 Number theory (11-XX)
20 Topological groups, Lie groups (22-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Combinatorics (05-XX)
16 Mechanics of particles and systems (70-XX)
13 Nonassociative rings and algebras (17-XX)
12 Group theory and generalizations (20-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
11 Functions of a complex variable (30-XX)
11 Numerical analysis (65-XX)
8 Probability theory and stochastic processes (60-XX)
7 Special functions (33-XX)
6 Category theory; homological algebra (18-XX)
5 Abstract harmonic analysis (43-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Difference and functional equations (39-XX)
4 Fluid mechanics (76-XX)
3 History and biography (01-XX)
3 Potential theory (31-XX)
3 Sequences, series, summability (40-XX)
3 Approximations and expansions (41-XX)
3 Convex and discrete geometry (52-XX)
3 Optics, electromagnetic theory (78-XX)
3 Information and communication theory, circuits (94-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Real functions (26-XX)
2 Measure and integration (28-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Geometry (51-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)

Citations by Year

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