Chen, Kuo-Tsai

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 Author ID: chen.kuo-tsai Published as: Chen, Kuo-Tsai; Chen, K.-T.; Chen, K. T.; Chen, Kuo-tsai; Chen, Kuo Tsai; Chen, K-t.; Chen, K. more...less External Links: MacTutor · MGP · Wikidata · GND
 Documents Indexed: 60 Publications since 1951, including 1 Book Biographic References: 2 Publications Co-Authors: 2 Co-Authors with 2 Joint Publications 27 Co-Co-Authors

Co-Authors

 57 single-authored 2 Fox, Ralph Hartzler 2 Lyndon, Roger C. 1 Tondeur, Philippe
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Serials

 8 Transactions of the American Mathematical Society 8 Bulletin of the American Mathematical Society 7 Annals of Mathematics. Second Series 4 Journal of Algebra 4 Proceedings of the American Mathematical Society 3 American Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Advances in Mathematics 2 Bulletin of the Institute of Mathematics. Academia Sinica 1 Duke Mathematical Journal 1 Journal of Differential Equations 1 Journal of Differential Geometry 1 Mathematische Annalen 1 Proceedings of the London Mathematical Society. Third Series 1 Revista de la Unión Matemática Argentina 1 Topology 1 Southeast Asian Bulletin of Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Journal of the London Mathematical Society 1 Anais da Academia Brasileira de Ciências 1 Contemporary Mathematicians
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Fields

 20 Global analysis, analysis on manifolds (58-XX) 15 Algebraic topology (55-XX) 15 Manifolds and cell complexes (57-XX) 7 Differential geometry (53-XX) 3 Field theory and polynomials (12-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic geometry (14-XX) 2 Several complex variables and analytic spaces (32-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX)

Citations contained in zbMATH Open

42 Publications have been cited 940 times in 724 Documents Cited by Year
Iterated path integrals. Zbl 0389.58001
Chen, Kuo-Tsai
1977
Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula. Zbl 0077.25301
Chen, Kuo-Tsai
1957
Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0142.22304
Chen, K. T.; Fox, R. H.; Lyndon, R. C.
1958
Iterated integrals of differential forms and loop space homology. Zbl 0227.58003
Chen, Kuo-Tsai
1973
Equivalence and decomposition of vector fields about an elementary critical point. Zbl 0119.07505
Chen, K.-T.
1963
Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0083.01403
Chen, K. T.; Fox, R. H.; Lyndon, R. C.
1958
Iterated integrals and exponential homomorphisms. Zbl 0058.25603
Chen, Kuo-Tsai
1954
Algebras of iterated path integrals and fundamental groups. Zbl 0217.47705
Chen, K.-T.
1971
Integration of paths. A faithful representation of paths by non- commutative formal power series. Zbl 0097.25803
Chen, Kuo-Tsai
1959
Integration in free groups. Zbl 0045.30102
Chen, Kuo-Tsai
1951
Extension of $$C^\infty$$ function algebra by integrals and Malcev completion of $$\pi_1$$. Zbl 0345.58003
Chen, Kuo-Tsai
1977
Decomposition of differential equations. Zbl 0166.02802
Chen, K. T.
1962
Algebraic paths. Zbl 0204.33803
Chen, K.-T.
1968
Iterated integrals, fundamental groups and covering spaces. Zbl 0301.58006
Chen, Kuo-Tsai
1975
Formal differential equations. Zbl 0098.05702
Chen, Kuo-Tsai
1961
Isotopy invariants of links. Zbl 0049.40403
Chen, Kuo-Tsai
1952
Local diffeomorphisms – $$C^ \infty$$ realization of formal properties. Zbl 0151.32001
Chen, K.-T.
1965
Commutator calculus and link invariants. Zbl 0049.40402
Chen, K. T.
1952
Iterated path integrals and generalized paths. Zbl 0179.19601
Chen, K.-T.
1967
Expansion of solutions of differential systems. Zbl 0117.04802
Chen, K-t.
1963
Pullback de Rham cohomology of the free path fibration. Zbl 0389.58002
Chen, Kuo-Tsai
1978
An expansion formula for differential equations. Zbl 0166.08003
Chen, K. T.
1962
An algebraic dualization of fundamental groups. Zbl 0182.57101
Chen, Kuo-Tsai
1969
Differential forms and homotopy groups. Zbl 0229.58002
Chen, Kuo-Tsai
1971
Fundamental groups, nilmanifolds and iterated integrals. Zbl 0271.58001
Chen, Kuo-Tsai
1973
Reduced bar constructions on deRham complexes. Zbl 0341.57034
Chen, Kuo-Tsai
1976
Algebraization of iterated integration along paths. Zbl 0161.41402
Chen, K.-T.
1967
Homotopy of algebras. Zbl 0167.03704
Chen, K.-T.
1968
Normal forms of local diffeomorphisms on the real line. Zbl 0179.29005
Chen, K.-T.
1968
Covering-space-like algebras. Zbl 0181.32501
Chen, K.-T.
1969
A sufficient condition for nonabelianness of fundamental groups of differentiable manifolds. Zbl 0197.49303
Chen, K.-T.
1970
Free subalgebras of loop space homology and Massey products. Zbl 0238.55006
Chen, Kuo-Tsai
1972
Collected papers of K. -T. Chen. Edited by Philippe Tondeur. Zbl 0977.01042
Chen, K.-T.
2001
Circular bar construction. Zbl 0409.18005
Chen, Kuo-Tsai
1979
Solvability on manifolds by quadratures permitting only integrals. Zbl 0295.58006
Chen, Kuo-Tsai
1974
On the composition functions of nilpotent Lie groups. Zbl 0082.02704
Chen, Kuo-Tsai
1958
Exponential isomorphism for vector spaces and its connection with Lie groups. Zbl 0083.02202
Chen, Kuo Tsai
1958
On a generalization of Picard’s approximation. Zbl 0148.05803
Chen, Kuo-Tsai
1966
On the Hopf index theorem and the Hopf invariant. Zbl 0493.57009
Chen, Kuo-Tsai
1981
On differentiable spaces. Zbl 0593.58004
Chen, Kuo-Tsai
1986
On the Bezout theorem. Zbl 0594.14001
Chen, Kuo-Tsai
1984
Decomposition and equivalence of local vector fields. Zbl 0173.35202
Chen, K. T.
1963
Collected papers of K. -T. Chen. Edited by Philippe Tondeur. Zbl 0977.01042
Chen, K.-T.
2001
On differentiable spaces. Zbl 0593.58004
Chen, Kuo-Tsai
1986
On the Bezout theorem. Zbl 0594.14001
Chen, Kuo-Tsai
1984
On the Hopf index theorem and the Hopf invariant. Zbl 0493.57009
Chen, Kuo-Tsai
1981
Circular bar construction. Zbl 0409.18005
Chen, Kuo-Tsai
1979
Pullback de Rham cohomology of the free path fibration. Zbl 0389.58002
Chen, Kuo-Tsai
1978
Iterated path integrals. Zbl 0389.58001
Chen, Kuo-Tsai
1977
Extension of $$C^\infty$$ function algebra by integrals and Malcev completion of $$\pi_1$$. Zbl 0345.58003
Chen, Kuo-Tsai
1977
Reduced bar constructions on deRham complexes. Zbl 0341.57034
Chen, Kuo-Tsai
1976
Iterated integrals, fundamental groups and covering spaces. Zbl 0301.58006
Chen, Kuo-Tsai
1975
Solvability on manifolds by quadratures permitting only integrals. Zbl 0295.58006
Chen, Kuo-Tsai
1974
Iterated integrals of differential forms and loop space homology. Zbl 0227.58003
Chen, Kuo-Tsai
1973
Fundamental groups, nilmanifolds and iterated integrals. Zbl 0271.58001
Chen, Kuo-Tsai
1973
Free subalgebras of loop space homology and Massey products. Zbl 0238.55006
Chen, Kuo-Tsai
1972
Algebras of iterated path integrals and fundamental groups. Zbl 0217.47705
Chen, K.-T.
1971
Differential forms and homotopy groups. Zbl 0229.58002
Chen, Kuo-Tsai
1971
A sufficient condition for nonabelianness of fundamental groups of differentiable manifolds. Zbl 0197.49303
Chen, K.-T.
1970
An algebraic dualization of fundamental groups. Zbl 0182.57101
Chen, Kuo-Tsai
1969
Covering-space-like algebras. Zbl 0181.32501
Chen, K.-T.
1969
Algebraic paths. Zbl 0204.33803
Chen, K.-T.
1968
Homotopy of algebras. Zbl 0167.03704
Chen, K.-T.
1968
Normal forms of local diffeomorphisms on the real line. Zbl 0179.29005
Chen, K.-T.
1968
Iterated path integrals and generalized paths. Zbl 0179.19601
Chen, K.-T.
1967
Algebraization of iterated integration along paths. Zbl 0161.41402
Chen, K.-T.
1967
On a generalization of Picard’s approximation. Zbl 0148.05803
Chen, Kuo-Tsai
1966
Local diffeomorphisms – $$C^ \infty$$ realization of formal properties. Zbl 0151.32001
Chen, K.-T.
1965
Equivalence and decomposition of vector fields about an elementary critical point. Zbl 0119.07505
Chen, K.-T.
1963
Expansion of solutions of differential systems. Zbl 0117.04802
Chen, K-t.
1963
Decomposition and equivalence of local vector fields. Zbl 0173.35202
Chen, K. T.
1963
Decomposition of differential equations. Zbl 0166.02802
Chen, K. T.
1962
An expansion formula for differential equations. Zbl 0166.08003
Chen, K. T.
1962
Formal differential equations. Zbl 0098.05702
Chen, Kuo-Tsai
1961
Integration of paths. A faithful representation of paths by non- commutative formal power series. Zbl 0097.25803
Chen, Kuo-Tsai
1959
Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0142.22304
Chen, K. T.; Fox, R. H.; Lyndon, R. C.
1958
Free differential calculus. IV: The quotient groups of the lower central series. Zbl 0083.01403
Chen, K. T.; Fox, R. H.; Lyndon, R. C.
1958
On the composition functions of nilpotent Lie groups. Zbl 0082.02704
Chen, Kuo-Tsai
1958
Exponential isomorphism for vector spaces and its connection with Lie groups. Zbl 0083.02202
Chen, Kuo Tsai
1958
Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula. Zbl 0077.25301
Chen, Kuo-Tsai
1957
Iterated integrals and exponential homomorphisms. Zbl 0058.25603
Chen, Kuo-Tsai
1954
Isotopy invariants of links. Zbl 0049.40403
Chen, Kuo-Tsai
1952
Commutator calculus and link invariants. Zbl 0049.40402
Chen, K. T.
1952
Integration in free groups. Zbl 0045.30102
Chen, Kuo-Tsai
1951
all top 5

Cited by 813 Authors

 25 Chen, Kuo-Tsai 16 Suciu, Alexander I. 15 Papadima, Ștefan 13 Daykin, Jacqueline W. 12 Duhr, Claude 12 Hain, Richard M. 11 Ebrahimi-Fard, Kurusch 10 Smyth, William F. 9 Bannai, Hideo 9 Guo, Li 8 Bokut, Leonid A. 8 Drummond, James M. 8 Hoang Ngoc Minh, Vincel 8 Inenaga, Shunsuke 8 Nakashima, Yuto 8 Takeda, Masayuki 8 Yang, Jiazhong 7 Chen, Yuqun 7 Friz, Peter Karl 7 Kohno, Toshitake 7 Léandre, Rémi 6 Boedihardjo, Horatio 6 Chatterjee, Saikat 6 Henn, Johannes M. 6 Lyons, Terence John 6 Patras, Frédéric 6 Satoh, Takao 5 Diehl, Joscha 5 Dixon, Lance J. 5 Duchamp, Gerard Henry Edmond 5 Dulat, Falko 5 Hazewinkel, Michiel 5 Iglesias-Zemmour, Patrick 5 Martins, João Nuno Goncalves Faria 5 Matthes, Nils 5 McLeod, Andrew J. 5 Papathanasiou, Georgios 5 Wang, He 5 Zhang, Xiang 4 Apostolico, Alberto 4 Baudoin, Fabrice 4 Bonizzoni, Paola 4 Brown, Francis C. S. 4 Brudnyi, Alexander 4 Daykin, David E. 4 De Felice, Clelia 4 Del Duca, Vittorio 4 Dimca, Alexandru 4 Duval, Jean-Pierre 4 Enjalbert, Jean-Yves 4 Fliess, Michel 4 Foata, Dominique C. 4 Geng, Xi 4 Goncharov, Alexander Borisovich 4 Hairer, Martin 4 I, Tomohiro 4 Lahiri, Amitabha 4 Lejay, Antoine 4 Li, Weigu 4 Lu, Kening 4 Ren, Zhihua 4 Reutenauer, Christophe 4 Sengupta, Ambar N. 4 Spera, Mauro 4 Tapia, Nikolas 4 Wilson, Scott O. 4 Zaccagnino, Rocco 4 Zhao, Jianqiang 4 Zizza, Rosalba 3 Aomoto, Kazuhiko 3 Arias Abad, Camilo 3 Caron-Huot, Simon 3 Chanane, Bilal 3 Chen, Xiaojun 3 Colmenarejo, Laura 3 Fermanian, Adeline 3 Han, Guo-Niu 3 Kociumaka, Tomasz 3 Levin, Frank S. 3 Llibre, Jaume 3 Malham, Simon J. A. 3 Naudot, Vincent 3 Nguyen Tien Zung 3 Panzer, Erik 3 Pennington, Jeffrey S. 3 Pietrzkowski, Gabriel 3 Pin, Jean-Eric 3 Qian, Zhongmin M. 3 Reich, Ludwig 3 Reyes, Gonzalo E. 3 Schätz, Florian 3 Shpilrain, Vladimir 3 Spradlin, Marcus 3 Tollu, Christophe 3 Traldi, Lorenzo 3 Volovich, Anastasia 3 von Hippel, Matt 3 Wada, Kodai 3 Walcher, Sebastian 3 Wu, Hao ...and 713 more Authors
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Cited in 230 Serials

 39 Journal of High Energy Physics 33 Transactions of the American Mathematical Society 25 Theoretical Computer Science 23 Journal of Algebra 22 Advances in Mathematics 16 Journal of Differential Equations 14 Journal of Pure and Applied Algebra 14 Topology and its Applications 13 Proceedings of the American Mathematical Society 11 Journal of Mathematical Physics 11 Journal of Geometry and Physics 10 Discrete Mathematics 10 Inventiones Mathematicae 10 Mathematische Zeitschrift 8 Advances in Applied Mathematics 8 Journal of Mathematical Sciences (New York) 8 Algebraic & Geometric Topology 8 Bulletin of the American Mathematical Society 7 Journal of Mathematical Analysis and Applications 7 Duke Mathematical Journal 7 Journal of Functional Analysis 6 Communications in Mathematical Physics 6 Annales de l’Institut Fourier 6 Journal of Combinatorial Theory. Series A 6 Mathematische Annalen 6 Nagoya Mathematical Journal 6 Acta Applicandae Mathematicae 6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 6 Bulletin des Sciences Mathématiques 5 Reviews in Mathematical Physics 5 Journal of Number Theory 5 Journal of Symbolic Computation 5 Differential Geometry and its Applications 5 Journal of Knot Theory and its Ramifications 5 Selecta Mathematica. New Series 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Geometriae Dedicata 4 Ergodic Theory and Dynamical Systems 4 Stochastic Processes and their Applications 4 Indagationes Mathematicae. New Series 4 Annals of Mathematics. Second Series 4 Journal of Dynamical and Control Systems 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 International Journal of Geometric Methods in Modern Physics 4 Journal of Homotopy and Related Structures 3 Communications in Algebra 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Algebra and Logic 3 Bulletin de la Société Mathématique de France 3 Journal für die Reine und Angewandte Mathematik 3 Mathematics and Computers in Simulation 3 Proceedings of the Japan Academy. Series A 3 Systems & Control Letters 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Discrete and Continuous Dynamical Systems 3 Journal of Discrete Algorithms 3 International Journal of Number Theory 3 Forum of Mathematics, Sigma 3 European Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Computer Physics Communications 2 Information Processing Letters 2 Letters in Mathematical Physics 2 Mathematical Notes 2 Physics Letters. B 2 Stochastics 2 Ukrainian Mathematical Journal 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Automatica 2 Functional Analysis and its Applications 2 Journal of Computational and Applied Mathematics 2 Manuscripta Mathematica 2 Mathematical Systems Theory 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 European Journal of Combinatorics 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Physica D 2 Algorithmica 2 $$K$$-Theory 2 Revista Matemática Iberoamericana 2 Journal of Theoretical Probability 2 Forum Mathematicum 2 International Journal of Mathematics 2 International Journal of Algebra and Computation 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Algebraic Combinatorics 2 Journal de Théorie des Nombres de Bordeaux 2 Annales Mathématiques Blaise Pascal 2 The Electronic Journal of Combinatorics 2 Documenta Mathematica 2 Séminaire Lotharingien de Combinatoire 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Regular and Chaotic Dynamics ...and 130 more Serials
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Cited in 54 Fields

 116 Manifolds and cell complexes (57-XX) 94 Algebraic topology (55-XX) 91 Global analysis, analysis on manifolds (58-XX) 85 Associative rings and algebras (16-XX) 83 Computer science (68-XX) 80 Nonassociative rings and algebras (17-XX) 79 Group theory and generalizations (20-XX) 78 Quantum theory (81-XX) 75 Probability theory and stochastic processes (60-XX) 71 Ordinary differential equations (34-XX) 68 Number theory (11-XX) 65 Algebraic geometry (14-XX) 62 Differential geometry (53-XX) 61 Dynamical systems and ergodic theory (37-XX) 51 Combinatorics (05-XX) 46 Category theory; homological algebra (18-XX) 29 Several complex variables and analytic spaces (32-XX) 24 Systems theory; control (93-XX) 23 Commutative algebra (13-XX) 21 Special functions (33-XX) 19 $$K$$-theory (19-XX) 15 Numerical analysis (65-XX) 14 Mechanics of particles and systems (70-XX) 12 Topological groups, Lie groups (22-XX) 12 Partial differential equations (35-XX) 12 Statistics (62-XX) 12 Relativity and gravitational theory (83-XX) 10 Functions of a complex variable (30-XX) 10 Difference and functional equations (39-XX) 8 Field theory and polynomials (12-XX) 8 Functional analysis (46-XX) 8 Operator theory (47-XX) 7 Convex and discrete geometry (52-XX) 6 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mathematical logic and foundations (03-XX) 5 General algebraic systems (08-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Measure and integration (28-XX) 2 Geometry (51-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)

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