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## Tu, Loring W.

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 Author ID: tu.loring-w Published as: Tu, L.; Tu, Loring; Tu, Loring W. Homepage: https://ltu.pages.tufts.edu/ External Links: MGP · Wikidata · GND
 Documents Indexed: 32 Publications since 1982, including 7 Books
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#### Co-Authors

 19 single-authored 3 Bott, Raoul Harry 3 Donagi, Ron Y. 3 Harris, Joseph Daniel 1 Cox, David A. 1 Elzein, Fouad 1 Gurdian, Rodolfo 1 Jaffe, Arthur Michael 1 Mumford, David Bryant 1 Pedroza, Andrés 1 Smale, Steve 1 Teixidor i Bigas, Montserrat 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 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

 18 Algebraic geometry (14-XX) 12 Manifolds and cell complexes (57-XX) 9 Algebraic topology (55-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 History and biography (01-XX) 3 Differential geometry (53-XX) 2 Several complex variables and analytic spaces (32-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

25 Publications have been cited 982 times in 960 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
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
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
Theta functions for $$SL(n)$$ versus $$GL(n)$$. Zbl 0847.14027
Donagi, Ron; Tu, Loring W.
1994
Equivariant characteristic classes in the Cartan model. Zbl 1016.53024
Bott, Raoul; Tu, Loring W.
2001
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
Computing the Gysin map using fixed points. Zbl 1371.55011
Tu, Loring W.
2017
What is …equivariant cohomology? Zbl 1226.55001
Tu, Loring W.
2011
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
A short proof of the Campbell-Hausdorff formula. Zbl 1061.22007
Tu, Loring W.
2004
A partial order on partitions and the generalized Vandermonde determinant. Zbl 1046.05007
Tu, Loring W.
2004
The connectedness of degeneracy loci. Zbl 0744.14010
Tu, Loring W.
1990
Degeneracy loci. Zbl 0626.14019
Tu, Loring W.
1986
Hodge theory and the local Torelli problem. Zbl 0538.14005
Tu, Loring W.
1983
On the genesis of the Woods Hole fixed point theorem. Zbl 1338.01060
Tu, Loring W.
2015
On the localization formula in equivariant cohomology. Zbl 1144.55008
Pedroza, Andrés; Tu, Loring W.
2007
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
The connectedness of symmetric and skew-symmetric degeneracy loci: Even ranks. Zbl 0689.14024
Tu, Loring W.
1989
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. Zbl 0675.55002
Bott, Raoul; Tu, Loring W.
1989
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
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 short proof of the Campbell-Hausdorff formula. Zbl 1061.22007
Tu, Loring W.
2004
A partial order on partitions and the generalized Vandermonde determinant. Zbl 1046.05007
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
The connectedness of symmetric and skew-symmetric degeneracy loci: Even ranks. Zbl 0689.14024
Tu, Loring W.
1989
Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. Zbl 0675.55002
Bott, Raoul; 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
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 1,351 Authors

 9 Mathai, Varghese 7 Gomi, Kiyonori 6 Szabo, Richard J. 5 Aspinwall, Paul S. 5 Dappiaggi, Claudio 5 de Boer, Jan 5 Thuillier, Frank 5 Tu, Loring W. 4 Benini, Marco 4 Biswas, Indranil 4 Blau, Matthias 4 Bouwknegt, Peter G. 4 Brenner, Holger 4 Cox, David A. 4 De Nittis, Giuseppe 4 Ferreiro Pérez, Roberto 4 Friedland, Shmuel 4 Grassi, Pietro Antonio 4 Jockers, Hans 4 Karshon, Yael 4 Lechner, Kurt 4 Moerdijk, Ieke 4 Moore, Gregory Winthrop 4 Newstead, Peter E. 4 Ortiz, Michael 4 Papadopoulos, George 4 Ranestad, Kristian 4 Rivière, Tristan 4 Saralegi-Aranguren, Martintxo 4 Spera, Mauro 4 Sturmfels, Bernd 4 Vasselli, Ezio 4 Xu, Ping 4 Zharinov, Victor Victorovich 3 Al-Ashhab, Samer S. 3 Bertram, Aaron 3 Bhosle, Usha N. 3 Boyarsky, Alexey 3 Bruzzo, Ugo 3 Donagi, Ron Y. 3 El Kacimi Alaoui, Aziz 3 Falk, Richard S. 3 Feng, Huitao 3 Fernández Rodríguez, Marisa 3 Arango Florentino, Carlos Armindo 3 Gukov, Sergei 3 Harris, Joseph Daniel 3 Hector, Gilbert 3 Ida, Cristian 3 Imbimbo, Camillo 3 Isobe, Takeshi 3 Kholodenko, Arkady L. 3 Laszlo, Yves 3 Léandre, Rémi 3 Lesch, Matthias 3 Lin, Yi 3 Marchetti, Pieralberto A. 3 Matsutani, Shigeki 3 Melnikov, Ilarion V. 3 Morrison, David R. 3 Mukherjee, Ritwik 3 Nelson, Philip A. 3 Pflaum, Markus J. 3 Pilch, Krzysztof 3 Pirola, Gian Pietro 3 Plesser, Moshe Ronen 3 Pragacz, Piotr 3 Putnam, Ian F. 3 Rabin, Jeffrey M. 3 Reina, Cesare 3 Rimányi, Richárd 3 Sankaran, Parameswaran 3 Sati, Hisham 3 Schikorra, Armin 3 Sharpe, Eric R. 3 Sklyarenko, E. G. 3 Thompson, George 3 Tjin, Tjark 3 Tolman, Susan 3 Trueba, José Luis 3 Winther, Ragnar 3 Witten, Edward 3 Wolak, Robert A. 3 Yuan, Yao 2 Albeverio, Sergio A. 2 Alcalde Cuesta, Fernando 2 Alvarez-Gaumé, Luis 2 Álvarez López, Jesús A. 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 Brasselet, Jean-Paul ...and 1,251 more Authors
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#### Cited in 222 Serials

 66 Communications in Mathematical Physics 66 Journal of Geometry and Physics 42 Nuclear Physics. B 41 Transactions of the American Mathematical Society 27 Journal of High Energy Physics 25 Advances in Mathematics 25 Mathematische Annalen 23 Journal of Mathematical Physics 23 Topology and its Applications 21 Duke Mathematical Journal 21 Differential Geometry and its Applications 20 Proceedings of the American Mathematical Society 18 Annales de l’Institut Fourier 18 Mathematische Zeitschrift 14 International Journal of Mathematics 12 Journal of Algebra 11 Israel Journal of Mathematics 11 Compositio Mathematica 11 Geometriae Dedicata 11 Annals of Physics 10 Physics Letters. B 10 Journal of Functional Analysis 9 Letters in Mathematical Physics 9 Inventiones Mathematicae 9 Journal of Pure and Applied Algebra 9 Manuscripta Mathematica 9 Annals of Global Analysis and Geometry 8 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Communications in Algebra 7 The Journal of Geometric Analysis 7 Geometric and Functional Analysis. GAFA 7 Journal of Algebraic Geometry 7 Annals of Mathematics. Second Series 6 Reports on Mathematical Physics 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 Algebraic & Geometric Topology 4 Theoretical and Mathematical Physics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Journal of Differential Equations 4 Journal für die Reine und Angewandte Mathematik 4 Expositiones Mathematicae 4 Advances in Geometry 4 Journal of Noncommutative Geometry 4 Journal of Homotopy and Related Structures 3 Communications on Pure and Applied Mathematics 3 Mathematical Notes 3 Physics Letters. A 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 International Journal for Numerical Methods in Engineering 3 Journal of the Mathematical Society of Japan 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 Revista Matemática Iberoamericana 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 Acta Mathematica Sinica. English Series 3 Central European Journal of Mathematics 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Proceedings of the Steklov Institute of Mathematics 2 General Relativity and Gravitation 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica 2 The Annals of Statistics 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Bulletin de la Société Mathématique de France 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 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 2 Acta Mathematica Sinica. New Series 2 Nuclear Physics, B, Proceedings Supplements 2 Advances in Applied Clifford Algebras 2 Finite Fields and their Applications 2 Theory and Applications of Categories 2 Journal of the European Mathematical Society (JEMS) 2 Communications of the Korean Mathematical Society 2 Journal of the Australian Mathematical Society ...and 122 more Serials
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#### Cited in 56 Fields

 274 Algebraic geometry (14-XX) 255 Differential geometry (53-XX) 220 Global analysis, analysis on manifolds (58-XX) 215 Quantum theory (81-XX) 175 Manifolds and cell complexes (57-XX) 161 Algebraic topology (55-XX) 101 Several complex variables and analytic spaces (32-XX) 54 Relativity and gravitational theory (83-XX) 53 Dynamical systems and ergodic theory (37-XX) 44 Partial differential equations (35-XX) 41 Functional analysis (46-XX) 32 Nonassociative rings and algebras (17-XX) 26 Category theory; homological algebra (18-XX) 26 $$K$$-theory (19-XX) 24 Number theory (11-XX) 24 Topological groups, Lie groups (22-XX) 22 Commutative algebra (13-XX) 20 Group theory and generalizations (20-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Combinatorics (05-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 18 Functions of a complex variable (30-XX) 17 Numerical analysis (65-XX) 16 Mechanics of particles and systems (70-XX) 14 Operator theory (47-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Fluid mechanics (76-XX) 12 Convex and discrete geometry (52-XX) 12 Probability theory and stochastic processes (60-XX) 12 Optics, electromagnetic theory (78-XX) 11 Mechanics of deformable solids (74-XX) 10 Operations research, mathematical programming (90-XX) 9 Associative rings and algebras (16-XX) 9 Computer science (68-XX) 8 General topology (54-XX) 7 Measure and integration (28-XX) 6 Information and communication theory, circuits (94-XX) 5 Ordinary differential equations (34-XX) 4 Potential theory (31-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-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 Field theory and polynomials (12-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX)

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