## Tu, Loring W.

Compute Distance To:
 Author ID: tu.loring-w Published as: Tu, Loring W.; Tu, Loring; Tu, L. more...less Homepage: https://ltu.pages.tufts.edu/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 31 Publications since 1982, including 7 Books 3 Contributions as Editor · 4 Further Contributions Co-Authors: 8 Co-Authors with 14 Joint Publications 275 Co-Co-Authors
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### Co-Authors

 18 single-authored 5 Bott, Raoul Harry 4 Griffiths, Phillip Augustus 3 Donagi, Ron Y. 3 Harris, Joseph Daniel 1 Arabia, Alberto 1 Atiyah, Michael Francis 1 Bar-Natan, Dror 1 Cattaneo, Alberto Sergio 1 Cox, David A. 1 Earle, Clifford J. 1 Elzein, Fouad 1 Goodwillie, Thomas Gehret 1 Gurdian, Rodolfo 1 Hejhal, Dennis A. 1 Jaffe, Arthur Michael 1 Jeffrey, Lisa Claire 1 Jenkins, James Allister 1 Jørgensen, Troels 1 Krantz, Steven George 1 MacPherson, Robert Duncan 1 Marden, Albert 1 Mumford, David Bryant 1 Osserman, Robert 1 Pedroza, Andrés 1 Penner, Robert C. 1 Shimura, Goro 1 Smale, Steve 1 Stipsicz, András I. 1 Sullivan, Dennis Parnell 1 Szenes, András 1 Szenthe, János 1 Taubes, Clifford Henry 1 Teixidor i Bigas, Montserrat 1 Tolman, Susan 1 Tongring, Nils 1 Volić, Ismar 1 Weitsman, Jonathan 1 Yau, Shing-Tung
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### Serials

 5 Notices of the American Mathematical Society 2 Inventiones Mathematicae 2 Graduate Texts in Mathematics 2 Universitext 2 Contemporary Mathematicians 1 Advances in Mathematics 1 Compositio Mathematica 1 Journal of Algebra 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Topology 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Journal of Lie Theory 1 Mathematical Research Letters 1 Annals of Mathematics Studies
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### Fields

 22 Algebraic geometry (14-XX) 14 Manifolds and cell complexes (57-XX) 11 Algebraic topology (55-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 History and biography (01-XX) 6 Several complex variables and analytic spaces (32-XX) 3 Differential geometry (53-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

29 Publications have been cited 1,028 times in 999 Documents Cited by Year
Differential forms in algebraic topology. Zbl 0496.55001
Bott, Raoul; Tu, Loring W.
1982
On symmetric and skew-symmetric determinantal varieties. Zbl 0534.55010
Harris, Joe; Tu, Loring W.
1984
Semistable bundles over an elliptic curve. Zbl 0786.14021
Tu, Loring W.
1993
An introduction to manifolds. 2nd revised ed. 2nd ed. Zbl 1200.58001
Tu, Loring W.
2011
An introduction to manifolds. Zbl 1144.58001
Tu, Loring W.
2008
Chern numbers of kernel and cokernel bundles. Appendix to ”On the Kodaira dimension of the moduli space of curves. II. The even-genus case” by J. Harris. Zbl 0542.14015
Harris, J.; Tu, L.
1984
Theta functions for $$SL(n)$$ versus $$GL(n)$$. Zbl 0847.14027
Donagi, Ron; Tu, Loring W.
1994
Variational Torelli implies generic Torelli. Zbl 0594.14011
Cox, David; Donagi, Ron; Tu, Loring
1987
Equivariant characteristic classes in the Cartan model. Zbl 1016.53024
Bott, Raoul; Tu, Loring W.
2001
Differential geometry. Connections, curvature, and characteristic classes. Zbl 1383.53001
Tu, Loring W.
2017
Generic Torelli for weighted hypersurfaces. Zbl 0588.14003
Donagi, Ron; Tu, Loring W.
1987
Macaulay’s theorem and local Torelli for weighted hypersurfaces. Zbl 0609.14008
Tu, Loring
1986
Computing the Gysin map using fixed points. Zbl 1371.55011
Tu, Loring W.
2017
Theta divisors for vector bundles. Zbl 0783.14020
Teixidor-I-Bigas, Montserrat; Tu, Loring W.
1992
Computing characteristic numbers using fixed points. Zbl 1202.57025
Tu, Loring W.
2010
What is …equivariant cohomology? Zbl 1226.55001
Tu, Loring W.
2011
The connectedness of degeneracy loci. Zbl 0744.14010
Tu, Loring W.
1990
Infinitesimal variation of Hodge structure and the generic global Torelli theorem. (Written by Loring Tu). Zbl 0561.14006
Griffiths, Phillip
1984
Degeneracy loci. Zbl 0626.14019
Tu, Loring W.
1986
Hodge theory and the local Torelli problem. Zbl 0538.14005
Tu, Loring W.
1983
A partial order on partitions and the generalized Vandermonde determinant. Zbl 1046.05007
Tu, Loring W.
2004
A short proof of the Campbell-Hausdorff formula. (Une courte démonstration de la formule de Campbell-Hausdorff.) Zbl 1061.22007
Tu, Loring W.
2004
The connectedness of symmetric degeneracy loci: Odd ranks. Appendix to “The connectedness of degeneracy loci” by Loring W. Tu. Zbl 0744.14011
Harris, Joe; Tu, Loring W.
1990
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциалъные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1989
From sheaf cohomology to the algebraic de Rham theorem. Zbl 1321.14016
El Zein, Fouad; Tu, Loring W.
2014
The connectedness of symmetric and skew-symmetric degeneracy loci: Even ranks. Zbl 0689.14024
Tu, Loring W.
1989
Infinitesimal variation of Hodge structure. (Written by Loring Tu). Zbl 0561.14005
Griffiths, Phillip
1984
On the localization formula in equivariant cohomology. Zbl 1144.55008
Pedroza, Andrés; Tu, Loring W.
2007
On the genesis of the Woods Hole fixed point theorem. Zbl 1338.01060
Tu, Loring W.
2015
Differential geometry. Connections, curvature, and characteristic classes. Zbl 1383.53001
Tu, Loring W.
2017
Computing the Gysin map using fixed points. Zbl 1371.55011
Tu, Loring W.
2017
On the genesis of the Woods Hole fixed point theorem. Zbl 1338.01060
Tu, Loring W.
2015
From sheaf cohomology to the algebraic de Rham theorem. Zbl 1321.14016
El Zein, Fouad; Tu, Loring W.
2014
An introduction to manifolds. 2nd revised ed. 2nd ed. Zbl 1200.58001
Tu, Loring W.
2011
What is …equivariant cohomology? Zbl 1226.55001
Tu, Loring W.
2011
Computing characteristic numbers using fixed points. Zbl 1202.57025
Tu, Loring W.
2010
An introduction to manifolds. Zbl 1144.58001
Tu, Loring W.
2008
On the localization formula in equivariant cohomology. Zbl 1144.55008
Pedroza, Andrés; Tu, Loring W.
2007
A partial order on partitions and the generalized Vandermonde determinant. Zbl 1046.05007
Tu, Loring W.
2004
A short proof of the Campbell-Hausdorff formula. (Une courte démonstration de la formule de Campbell-Hausdorff.) Zbl 1061.22007
Tu, Loring W.
2004
Equivariant characteristic classes in the Cartan model. Zbl 1016.53024
Bott, Raoul; Tu, Loring W.
2001
Theta functions for $$SL(n)$$ versus $$GL(n)$$. Zbl 0847.14027
Donagi, Ron; Tu, Loring W.
1994
Semistable bundles over an elliptic curve. Zbl 0786.14021
Tu, Loring W.
1993
Theta divisors for vector bundles. Zbl 0783.14020
Teixidor-I-Bigas, Montserrat; Tu, Loring W.
1992
The connectedness of degeneracy loci. Zbl 0744.14010
Tu, Loring W.
1990
The connectedness of symmetric degeneracy loci: Odd ranks. Appendix to “The connectedness of degeneracy loci” by Loring W. Tu. Zbl 0744.14011
Harris, Joe; Tu, Loring W.
1990
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциалъные формы в алгебраической топологии.) Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1989
The connectedness of symmetric and skew-symmetric degeneracy loci: Even ranks. Zbl 0689.14024
Tu, Loring W.
1989
Variational Torelli implies generic Torelli. Zbl 0594.14011
Cox, David; Donagi, Ron; Tu, Loring
1987
Generic Torelli for weighted hypersurfaces. Zbl 0588.14003
Donagi, Ron; Tu, Loring W.
1987
Macaulay’s theorem and local Torelli for weighted hypersurfaces. Zbl 0609.14008
Tu, Loring
1986
Degeneracy loci. Zbl 0626.14019
Tu, Loring W.
1986
On symmetric and skew-symmetric determinantal varieties. Zbl 0534.55010
Harris, Joe; Tu, Loring W.
1984
Chern numbers of kernel and cokernel bundles. Appendix to ”On the Kodaira dimension of the moduli space of curves. II. The even-genus case” by J. Harris. Zbl 0542.14015
Harris, J.; Tu, L.
1984
Infinitesimal variation of Hodge structure and the generic global Torelli theorem. (Written by Loring Tu). Zbl 0561.14006
Griffiths, Phillip
1984
Infinitesimal variation of Hodge structure. (Written by Loring Tu). Zbl 0561.14005
Griffiths, Phillip
1984
Hodge theory and the local Torelli problem. Zbl 0538.14005
Tu, Loring W.
1983
Differential forms in algebraic topology. Zbl 0496.55001
Bott, Raoul; Tu, Loring W.
1982
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### Cited by 1,398 Authors

 9 Mathai, Varghese 8 Gomi, Kiyonori 6 Spera, Mauro 5 Dappiaggi, Claudio 5 Sati, Hisham 5 Thuillier, Frank 5 Tu, Loring W. 4 Aspinwall, Paul S. 4 Benini, Marco 4 Biswas, Indranil 4 Bouwknegt, Peter G. 4 Brenner, Holger 4 Cox, David A. 4 de Boer, Jan 4 De Nittis, Giuseppe 4 Ferreiro Pérez, Roberto 4 Arango Florentino, Carlos Armindo 4 Friedland, Shmuel 4 Karshon, Yael 4 Moerdijk, Ieke 4 Moore, Gregory Winthrop 4 Newstead, Peter E. 4 Ortiz, Michael 4 Ranestad, Kristian 4 Rivière, Tristan 4 Sankaran, Parameswaran 4 Saralegi-Aranguren, Martintxo 4 Sturmfels, Bernd 4 Vasselli, Ezio 4 Xu, Ping 4 Zharinov, Victor Victorovich 3 Al-Ashhab, Samer S. 3 Bartzos, Evangelos 3 Bertram, Aaron 3 Bhosle, Usha N. 3 Boyarsky, Alexey 3 Brasselet, Jean-Paul 3 Bruzzo, Ugo 3 Donagi, Ron Y. 3 Du, Chengyong 3 El Kacimi Alaoui, Aziz 3 Emiris, Ioannis Z. 3 Falk, Richard S. 3 Feng, Huitao 3 Fernández Rodríguez, Marisa 3 Han, Fei 3 Harris, Joseph Daniel 3 Hector, Gilbert 3 Ida, Cristian 3 Isobe, Takeshi 3 Jockers, Hans 3 Kholodenko, Arkady L. 3 Laszlo, Yves 3 Lesch, Matthias 3 Lin, Yi 3 Morrison, David R. 3 Mukherjee, Ritwik 3 Nelson, Philip A. 3 Pflaum, Markus J. 3 Pilch, Krzysztof 3 Pirola, Gian Pietro 3 Pragacz, Piotr 3 Rabin, Jeffrey M. 3 Reina, Cesare 3 Rimányi, Richárd 3 Schikorra, Armin 3 Schreiber, Urs 3 Sharpe, Eric R. 3 Sklyarenko, E. G. 3 Tolman, Susan 3 Verra, Alessandro 3 Weinberger, Shmuel 3 Winther, Ragnar 3 Witten, Edward 3 Wolak, Robert A. 3 Yuan, Yao 2 Albeverio, Sergio A. 2 Alcalde Cuesta, Fernando 2 Altawallbeh, Zuhier 2 Álvarez López, Jesús Antonio 2 Álvarez, Marcos X. 2 Angoshtari, Arzhang 2 Auckly, David R. 2 Basu, Somnath 2 Battaglia, Fiammetta 2 Baum, Paul Frank 2 Bergeron, Nicolas 2 Bertolini, Marco 2 Blekherman, Grigoriy 2 Boden, Hans U. 2 Bonora, Losiano 2 Boyer, Charles P. 2 Brînzănescu, Vasile 2 Brodzki, Jacek 2 Brylinski, Jean-Luc 2 Byun, Yanghyun 2 Calabri, Alberto 2 Cardin, Franco 2 Carlson, James A. 2 Castorena, Abel ...and 1,298 more Authors
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### Cited in 240 Serials

 69 Communications in Mathematical Physics 58 Journal of Geometry and Physics 42 Transactions of the American Mathematical Society 31 Nuclear Physics. B 29 Advances in Mathematics 29 Mathematische Annalen 24 Journal of Mathematical Physics 24 Topology and its Applications 22 Duke Mathematical Journal 22 Proceedings of the American Mathematical Society 20 Annales de l’Institut Fourier 20 Differential Geometry and its Applications 19 Mathematische Zeitschrift 19 Journal of High Energy Physics 15 International Journal of Mathematics 13 Geometriae Dedicata 12 Journal of Algebra 12 Annals of Global Analysis and Geometry 11 Israel Journal of Mathematics 11 Letters in Mathematical Physics 11 Compositio Mathematica 11 Inventiones Mathematicae 10 Journal of Functional Analysis 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Journal of Pure and Applied Algebra 9 Manuscripta Mathematica 8 Communications in Algebra 7 Physics Letters. B 7 The Journal of Geometric Analysis 7 Geometric and Functional Analysis. GAFA 7 Journal of Algebraic Geometry 7 Annals of Mathematics. Second Series 6 Journal für die Reine und Angewandte Mathematik 6 Geometry & Topology 6 Foundations of Computational Mathematics 5 Archive for Rational Mechanics and Analysis 5 Journal of the American Mathematical Society 5 Linear Algebra and its Applications 5 Indagationes Mathematicae. New Series 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Journal of Mathematical Sciences (New York) 5 Annales Henri Poincaré 5 Advances in Geometry 5 Algebraic & Geometric Topology 5 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Journal of Noncommutative Geometry 4 Reports on Mathematical Physics 4 Theoretical and Mathematical Physics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of the Mathematical Society of Japan 4 Revista Matemática Iberoamericana 4 Annals of Physics 4 Expositiones Mathematicae 4 Journal of the European Mathematical Society (JEMS) 4 Acta Mathematica Sinica. English Series 4 Journal of Homotopy and Related Structures 3 Communications on Pure and Applied Mathematics 3 Journal of Mathematical Analysis and Applications 3 Mathematical Notes 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 International Journal for Numerical Methods in Engineering 3 Journal of Differential Equations 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Tokyo Journal of Mathematics 3 Journal of Symbolic Computation 3 $$K$$-Theory 3 Mathematical Programming. Series A. Series B 3 Calculus of Variations and Partial Differential Equations 3 Applied and Computational Harmonic Analysis 3 Selecta Mathematica. New Series 3 Bulletin des Sciences Mathématiques 3 Communications of the Korean Mathematical Society 3 Journal of the Australian Mathematical Society 3 Proceedings of the Steklov Institute of Mathematics 3 Science China. Mathematics 3 Journal of Siberian Federal University. Mathematics & Physics 2 General Relativity and Gravitation 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Physics Reports 2 Reviews in Mathematical Physics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Acta Mathematica 2 The Annals of Statistics 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 2 Collectanea Mathematica 2 Czechoslovak Mathematical Journal 2 Functional Analysis and its Applications 2 Illinois Journal of Mathematics 2 Publications Mathématiques 2 Journal of Economic Theory 2 Journal of Mathematical Economics 2 Le Matematiche 2 Monatshefte für Mathematik 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Acta Applicandae Mathematicae 2 Probability Theory and Related Fields ...and 140 more Serials
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### Cited in 57 Fields

 294 Algebraic geometry (14-XX) 274 Differential geometry (53-XX) 224 Global analysis, analysis on manifolds (58-XX) 191 Quantum theory (81-XX) 182 Manifolds and cell complexes (57-XX) 171 Algebraic topology (55-XX) 110 Several complex variables and analytic spaces (32-XX) 58 Dynamical systems and ergodic theory (37-XX) 49 Relativity and gravitational theory (83-XX) 44 Partial differential equations (35-XX) 37 Functional analysis (46-XX) 31 Nonassociative rings and algebras (17-XX) 30 Number theory (11-XX) 30 Category theory; homological algebra (18-XX) 28 $$K$$-theory (19-XX) 28 Topological groups, Lie groups (22-XX) 27 Commutative algebra (13-XX) 23 Group theory and generalizations (20-XX) 22 Combinatorics (05-XX) 21 Statistical mechanics, structure of matter (82-XX) 20 Functions of a complex variable (30-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 18 Numerical analysis (65-XX) 16 Convex and discrete geometry (52-XX) 16 Mechanics of particles and systems (70-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 15 Probability theory and stochastic processes (60-XX) 13 Fluid mechanics (76-XX) 12 Computer science (68-XX) 12 Mechanics of deformable solids (74-XX) 12 Operations research, mathematical programming (90-XX) 11 Optics, electromagnetic theory (78-XX) 10 Ordinary differential equations (34-XX) 9 Associative rings and algebras (16-XX) 9 Operator theory (47-XX) 7 General topology (54-XX) 7 Statistics (62-XX) 6 Measure and integration (28-XX) 5 Geometry (51-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Information and communication theory, circuits (94-XX) 3 Mathematical logic and foundations (03-XX) 3 Real functions (26-XX) 3 Difference and functional equations (39-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral transforms, operational calculus (44-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Abstract harmonic analysis (43-XX) 1 Classical thermodynamics, heat transfer (80-XX)

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