Edit Profile (opens in new tab) Tu, Loring W. Co-Author Distance 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: 36 Publications since 1982, including 7 Books and 4 Additional arXiv Preprints 3 Contributions as Editor · 4 Further Contributions Co-Authors: 8 Co-Authors with 14 Joint Publications 289 Co-Co-Authors all top 5 Co-Authors 22 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 Basso, Joao Marcos Vensi 1 Cattaneo, Alberto Sergio 1 Cox, David A. 1 Earle, Clifford J. 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, Stephen 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 all top 5 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 all top 5 Fields 23 Algebraic geometry (14-XX) 15 Manifolds and cell complexes (57-XX) 14 Algebraic topology (55-XX) 8 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 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 1,357 times in 1,323 Documents Cited by ▼ Year ▼ Differential forms in algebraic topology. Zbl 0496.55001 Bott, Raoul; Tu, Loring W. 993 1982 On symmetric and skew-symmetric determinantal varieties. Zbl 0534.55010 Harris, Joe; Tu, Loring W. 82 1984 Semistable bundles over an elliptic curve. Zbl 0786.14021 Tu, Loring W. 60 1993 An introduction to manifolds. 2nd revised ed. 2nd ed. Zbl 1200.58001 Tu, Loring W. 52 2011 Differential geometry. Connections, curvature, and characteristic classes. Zbl 1383.53001 Tu, Loring W. 31 2017 An introduction to manifolds. Zbl 1144.58001 Tu, Loring W. 28 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. 18 1984 Theta functions for \(SL(n)\) versus \(GL(n)\). Zbl 0847.14027 Donagi, Ron; Tu, Loring W. 15 1994 Equivariant characteristic classes in the Cartan model. Zbl 1016.53024 Bott, Raoul; Tu, Loring W. 11 2001 Variational Torelli implies generic Torelli. Zbl 0594.14011 Cox, David; Donagi, Ron; Tu, Loring 10 1987 Generic Torelli for weighted hypersurfaces. Zbl 0588.14003 Donagi, Ron; Tu, Loring W. 7 1987 Macaulay’s theorem and local Torelli for weighted hypersurfaces. Zbl 0609.14008 Tu, Loring 6 1986 Computing the Gysin map using fixed points. Zbl 1371.55011 Tu, Loring W. 6 2017 Theta divisors for vector bundles. Zbl 0783.14020 Teixidor-I-Bigas, Montserrat; Tu, Loring W. 5 1992 What is …equivariant cohomology? Zbl 1226.55001 Tu, Loring W. 4 2011 Computing characteristic numbers using fixed points. Zbl 1202.57025 Tu, Loring W. 4 2010 Introductory lectures on equivariant cohomology. With appendices by the author and Alberto Arabia. Zbl 1445.55001 Tu, Loring W. 4 2020 The connectedness of degeneracy loci. Zbl 0744.14010 Tu, Loring W. 3 1990 A partial order on partitions and the generalized Vandermonde determinant. Zbl 1046.05007 Tu, Loring W. 3 2004 On the genesis of the Woods Hole fixed point theorem. Zbl 1338.01060 Tu, Loring W. 2 2015 Differential forms in algebraic topology. Transl. from the English by I. V. Savel’ev and G. S. Shmelev. Transl. ed. by A. A. Kirillov. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002 Bott, Raoul; Tu, Loring W. 2 1989 Degeneracy loci. Zbl 0626.14019 Tu, Loring W. 2 1986 Hodge theory and the local Torelli problem. Zbl 0538.14005 Tu, Loring W. 2 1983 Infinitesimal variation of Hodge structure. (Written by Loring Tu). Zbl 0561.14005 Griffiths, Phillip 2 1984 Infinitesimal variation of Hodge structure and the generic global Torelli theorem. (Written by Loring Tu). Zbl 0561.14006 Griffiths, Phillip 2 1984 The connectedness of symmetric and skew-symmetric degeneracy loci: Even ranks. Zbl 0689.14024 Tu, Loring W. 2 1989 A short proof of the Campbell-Hausdorff formula. (Une courte démonstration de la formule de Campbell-Hausdorff.) Zbl 1061.22007 Tu, Loring W. 2 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. 1 1990 On the localization formula in equivariant cohomology. Zbl 1144.55008 Pedroza, Andrés; Tu, Loring W. 1 2007 From sheaf cohomology to the algebraic de Rham theorem. Zbl 1321.14016 El Zein, Fouad; Tu, Loring W. 1 2014 Introductory lectures on equivariant cohomology. With appendices by the author and Alberto Arabia. Zbl 1445.55001 Tu, Loring W. 4 2020 Differential geometry. Connections, curvature, and characteristic classes. Zbl 1383.53001 Tu, Loring W. 31 2017 Computing the Gysin map using fixed points. Zbl 1371.55011 Tu, Loring W. 6 2017 On the genesis of the Woods Hole fixed point theorem. Zbl 1338.01060 Tu, Loring W. 2 2015 From sheaf cohomology to the algebraic de Rham theorem. Zbl 1321.14016 El Zein, Fouad; Tu, Loring W. 1 2014 An introduction to manifolds. 2nd revised ed. 2nd ed. Zbl 1200.58001 Tu, Loring W. 52 2011 What is …equivariant cohomology? Zbl 1226.55001 Tu, Loring W. 4 2011 Computing characteristic numbers using fixed points. Zbl 1202.57025 Tu, Loring W. 4 2010 An introduction to manifolds. Zbl 1144.58001 Tu, Loring W. 28 2008 On the localization formula in equivariant cohomology. Zbl 1144.55008 Pedroza, Andrés; Tu, Loring W. 1 2007 A partial order on partitions and the generalized Vandermonde determinant. Zbl 1046.05007 Tu, Loring W. 3 2004 A short proof of the Campbell-Hausdorff formula. (Une courte démonstration de la formule de Campbell-Hausdorff.) Zbl 1061.22007 Tu, Loring W. 2 2004 Equivariant characteristic classes in the Cartan model. Zbl 1016.53024 Bott, Raoul; Tu, Loring W. 11 2001 Theta functions for \(SL(n)\) versus \(GL(n)\). Zbl 0847.14027 Donagi, Ron; Tu, Loring W. 15 1994 Semistable bundles over an elliptic curve. Zbl 0786.14021 Tu, Loring W. 60 1993 Theta divisors for vector bundles. Zbl 0783.14020 Teixidor-I-Bigas, Montserrat; Tu, Loring W. 5 1992 The connectedness of degeneracy loci. Zbl 0744.14010 Tu, Loring W. 3 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. 1 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. (Дифференциальные формы в алгебраической топологии.) Zbl 0675.55002 Bott, Raoul; Tu, Loring W. 2 1989 The connectedness of symmetric and skew-symmetric degeneracy loci: Even ranks. Zbl 0689.14024 Tu, Loring W. 2 1989 Variational Torelli implies generic Torelli. Zbl 0594.14011 Cox, David; Donagi, Ron; Tu, Loring 10 1987 Generic Torelli for weighted hypersurfaces. Zbl 0588.14003 Donagi, Ron; Tu, Loring W. 7 1987 Macaulay’s theorem and local Torelli for weighted hypersurfaces. Zbl 0609.14008 Tu, Loring 6 1986 Degeneracy loci. Zbl 0626.14019 Tu, Loring W. 2 1986 On symmetric and skew-symmetric determinantal varieties. Zbl 0534.55010 Harris, Joe; Tu, Loring W. 82 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. 18 1984 Infinitesimal variation of Hodge structure. (Written by Loring Tu). Zbl 0561.14005 Griffiths, Phillip 2 1984 Infinitesimal variation of Hodge structure and the generic global Torelli theorem. (Written by Loring Tu). Zbl 0561.14006 Griffiths, Phillip 2 1984 Hodge theory and the local Torelli problem. Zbl 0538.14005 Tu, Loring W. 2 1983 Differential forms in algebraic topology. Zbl 0496.55001 Bott, Raoul; Tu, Loring W. 993 1982 all cited Publications top 5 cited Publications all top 5 Cited by 1,897 Authors 11 Gomi, Kiyonori 11 Mathai, Varghese 7 Sati, Hisham 6 Benini, Marco 6 Dappiaggi, Claudio 6 De Nittis, Giuseppe 6 Spera, Mauro 6 Thuillier, Frank 6 Tu, Loring W. 5 Aspinwall, Paul S. 5 Bouwknegt, Peter G. 5 Ferreiro Pérez, Roberto 5 Schikorra, Armin 5 Schreiber, Urs 5 Suwa, Tatsuo 4 Bartzos, Evangelos 4 Biswas, Indranil 4 Boyer, Charles P. 4 Brenner, Holger 4 Cox, David A. 4 de Boer, Jan 4 El Kacimi Alaoui, Aziz 4 Emiris, Ioannis Z. 4 Arango Florentino, Carlos Armindo 4 Friedland, Shmuel 4 Jockers, Hans 4 Karshon, Yael 4 Konstantis, Panagiotis 4 Moerdijk, Ieke 4 Moore, Gregory Winthrop 4 Newstead, Peter E. 4 Ortiz, Michael 4 Papadopoulos, George 4 Rivière, Tristan 4 Sankaran, Parameswaran 4 Saralegi-Aranguren, Martintxo 4 Schenkel, Alexander 4 Sharpe, Eric R. 4 Shoemaker, Mark 4 Tønnesen-Friedman, Christina Wiis 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 Brasselet, Jean-Paul 3 Bruzzo, Ugo 3 Christiansen, Snorre Harald 3 Donagi, Ron Y. 3 Du, Chengyong 3 Falk, Richard S. 3 Farkas, Gavril 3 Feng, Huitao 3 Fernández Rodríguez, Marisa 3 Ghrist, Robert W. 3 Goertsches, Oliver 3 Grassi, Pietro Antonio 3 Gukov, Sergei 3 Han, Fei 3 Harris, Joseph Daniel 3 Hector, Gilbert 3 Hinz, Michael 3 Hirani, Anil N. 3 Hu, ShengLong 3 Ida, Cristian 3 Isobe, Takeshi 3 Kholodenko, Arkady L. 3 Klemm, Albrecht 3 Koytcheff, Robin 3 Laszlo, Yves 3 Lesch, Matthias 3 Lin, Yi 3 Mansfield, Elizabeth Louise 3 Matsutani, Shigeki 3 Melnikov, Ilarion V. 3 Miti, Antonio Michele 3 Morrison, David R. 3 Mukherjee, Ritwik 3 Murray, Michael K. 3 Nelson, Philip A. 3 Ottaviani, Giorgio Maria 3 Paternain, Gabriel Pedro 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 Ranestad, Kristian 3 Reina, Cesare 3 Rimányi, Richárd 3 Ritter, Alexander F. 3 Rochon, Frédéric 3 Sklyarenko, E. G. 3 Sparks, James 3 Sturmfels, Bernd 3 Szabo, Richard J. ...and 1,797 more Authors all top 5 Cited in 317 Serials 77 Communications in Mathematical Physics 67 Journal of Geometry and Physics 48 Transactions of the American Mathematical Society 39 Advances in Mathematics 39 Journal of High Energy Physics 37 Nuclear Physics. B 33 Mathematische Annalen 30 Journal of Mathematical Physics 28 Topology and its Applications 25 Mathematische Zeitschrift 24 Duke Mathematical Journal 23 Proceedings of the American Mathematical Society 22 Differential Geometry and its Applications 21 Annales de l’Institut Fourier 16 International Journal of Mathematics 14 Geometriae Dedicata 14 Annals of Global Analysis and Geometry 13 Compositio Mathematica 12 Israel Journal of Mathematics 12 Letters in Mathematical Physics 12 Inventiones Mathematicae 12 Journal of Algebra 12 Annals of Physics 11 The Journal of Geometric Analysis 10 Annali di Matematica Pura ed Applicata. Serie Quarta 10 Journal of Functional Analysis 10 Journal of Pure and Applied Algebra 10 Manuscripta Mathematica 9 Communications in Algebra 8 Physics Letters. B 8 Journal of Physics A: Mathematical and Theoretical 7 Journal für die Reine und Angewandte Mathematik 7 Geometric and Functional Analysis. GAFA 7 Indagationes Mathematicae. New Series 7 Journal of Algebraic Geometry 7 Geometry & Topology 7 Annals of Mathematics. Second Series 7 Acta Mathematica Sinica. English Series 7 Annales Henri Poincaré 7 Algebraic & Geometric Topology 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 6 Archive for Rational Mechanics and Analysis 6 Journal of Mathematical Analysis and Applications 6 Journal of the Mathematical Society of Japan 6 Linear Algebra and its Applications 6 Journal of Mathematical Sciences (New York) 6 Selecta Mathematica. New Series 6 Foundations of Computational Mathematics 6 International Journal of Geometric Methods in Modern Physics 6 Journal of Noncommutative Geometry 6 Journal of Homotopy and Related Structures 5 Reports on Mathematical Physics 5 Journal of the American Mathematical Society 5 Expositiones Mathematicae 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Calculus of Variations and Partial Differential Equations 5 Journal of the European Mathematical Society (JEMS) 5 Advances in Geometry 5 SIAM Journal on Applied Algebra and Geometry 4 Communications on Pure and Applied Mathematics 4 Physics Letters. A 4 Theoretical and Mathematical Physics 4 Reviews in Mathematical Physics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 International Journal for Numerical Methods in Engineering 4 Journal of the London Mathematical Society. Second Series 4 Proceedings of the London Mathematical Society. Third Series 4 Discrete & Computational Geometry 4 Revista Matemática Iberoamericana 4 Forum Mathematicum 4 Applied and Computational Harmonic Analysis 4 Bulletin des Sciences Mathématiques 4 Journal of Fixed Point Theory and Applications 4 Journal of Topology 4 Science China. Mathematics 4 Graduate Journal of Mathematics 3 Classical and Quantum Gravity 3 Indian Journal of Pure & Applied Mathematics 3 Journal of Computational Physics 3 Mathematical Notes 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 The Annals of Statistics 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin de la Société Mathématique de France 3 Journal of Differential Equations 3 Journal of Differential Geometry 3 Journal of Optimization Theory and Applications 3 Memoirs of the American Mathematical Society 3 Michigan Mathematical Journal 3 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Tokyo Journal of Mathematics 3 Journal of Symbolic Computation 3 \(K\)-Theory 3 SIAM Journal on Optimization 3 Communications of the Korean Mathematical Society 3 Journal of the Australian Mathematical Society 3 Journal of Machine Learning Research (JMLR) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 SIAM Journal on Applied Dynamical Systems ...and 217 more Serials all top 5 Cited in 59 Fields 370 Algebraic geometry (14-XX) 351 Differential geometry (53-XX) 275 Global analysis, analysis on manifolds (58-XX) 264 Quantum theory (81-XX) 233 Manifolds and cell complexes (57-XX) 228 Algebraic topology (55-XX) 139 Several complex variables and analytic spaces (32-XX) 74 Dynamical systems and ergodic theory (37-XX) 72 Relativity and gravitational theory (83-XX) 71 Partial differential equations (35-XX) 52 Functional analysis (46-XX) 45 Topological groups, Lie groups (22-XX) 43 Category theory; homological algebra (18-XX) 38 Nonassociative rings and algebras (17-XX) 37 Number theory (11-XX) 37 Numerical analysis (65-XX) 34 \(K\)-theory (19-XX) 34 Group theory and generalizations (20-XX) 33 Linear and multilinear algebra; matrix theory (15-XX) 31 Commutative algebra (13-XX) 30 Combinatorics (05-XX) 26 Mechanics of particles and systems (70-XX) 26 Statistical mechanics, structure of matter (82-XX) 25 Convex and discrete geometry (52-XX) 25 Probability theory and stochastic processes (60-XX) 25 Computer science (68-XX) 24 Functions of a complex variable (30-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 19 Optics, electromagnetic theory (78-XX) 19 Operations research, mathematical programming (90-XX) 17 Statistics (62-XX) 16 Mechanics of deformable solids (74-XX) 16 Fluid mechanics (76-XX) 15 Operator theory (47-XX) 13 Associative rings and algebras (16-XX) 12 Ordinary differential equations (34-XX) 11 Geometry (51-XX) 10 General topology (54-XX) 9 Measure and integration (28-XX) 9 Systems theory; control (93-XX) 8 Potential theory (31-XX) 8 Information and communication theory, circuits (94-XX) 6 Real functions (26-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Biology and other natural sciences (92-XX) 5 Special functions (33-XX) 5 Approximations and expansions (41-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Mathematical logic and foundations (03-XX) 4 Difference and functional equations (39-XX) 3 Field theory and polynomials (12-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 1 General algebraic systems (08-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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