Edit Profile (opens in new tab) Orr, Kent E. Co-Author Distance Author ID: orr.kent-e Published as: Orr, Kent E.; Orr, Kent; Orr, K. E.; Orr, K. more...less Documents Indexed: 27 Publications since 1987, including 2 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 21 Co-Authors with 25 Joint Publications 885 Co-Co-Authors all top 5 Co-Authors 3 single-authored 8 Cochran, Thomas (Tim) Daniel 4 Cha, Jae Choon 3 Igusa, Kiyoshi 3 Mikhaĭlov, Roman Valer’evich 2 Baumslag, Gilbert 2 Habegger, Nathan 2 Levine, Jerome P. 2 Teichner, Peter 2 Todorov, Gordana 2 Weyman, Jerzy M. 1 Dror Farjoun, Emmanuel 1 Gerges, Amir 1 Grigsby, Julia Elisenda 1 Harvey, Shelly L. 1 Kauffman, Louis Hirsch 1 Manturov, Vassiliĭ Olegovich 1 Mio, Washington 1 Powell, Mark 1 Ruberman, Daniel 1 Schneiderman, Rob 1 Shelah, Saharon all top 5 Serials 4 Topology 3 Commentarii Mathematici Helvetici 3 Journal of Knot Theory and its Ramifications 2 Communications on Pure and Applied Mathematics 2 Mathematische Zeitschrift 2 Annals of Mathematics. Second Series 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Compositio Mathematica 1 Inventiones Mathematicae 1 Transactions of the American Mathematical Society 1 Bulletin of the American Mathematical Society. New Series 1 Oberwolfach Reports 1 Journal of Topology all top 5 Fields 21 Manifolds and cell complexes (57-XX) 7 Group theory and generalizations (20-XX) 3 Algebraic topology (55-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 \(K\)-theory (19-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 23 Publications have been cited 404 times in 258 Documents Cited by ▼ Year ▼ Knot concordance, Whitney towers and \(L^2\)-signatures. Zbl 1044.57001 Cochran, Tim D.; Orr, Kent E.; Teichner, Peter 124 2003 Structure in the classical knot concordance group. Zbl 1061.57008 Cochran, Tim D.; Orr, Kent E.; Teichner, Peter 57 2004 Not all links are concordant to boundary links. Zbl 0828.57015 Cochran, Tim D.; Orr, Kent E. 35 1993 Cluster complexes via semi-invariants. Zbl 1180.14047 Igusa, Kiyoshi; Orr, Kent; Todorov, Gordana; Weyman, Jerzy 28 2009 Homotopy invariants of links. Zbl 0668.57014 Orr, Kent E. 27 1989 Links, pictures and the homology of nilpotent groups. Zbl 1002.57012 Igusa, Kiyoshi; Orr, Kent E. 26 2001 Dehn surgery equivalence relations on 3-manifolds. Zbl 0984.57010 Cochran, Tim D.; Gerges, Amir; Orr, Kent 17 2001 \(L^2\)-signatures, homology localization, and amenable groups. Zbl 1256.57018 Cha, Jae Choon; Orr, Kent E. 14 2012 Bousfield localization as an algebraic closure of groups. Zbl 0684.55011 Dror Farjoun, Emmanuel; Orr, K.; Shelah, Saharon 9 1989 Not all links are concordant to boundary links. Zbl 0705.57012 Cochran, T. D.; Orr, K. E. 9 1990 Homology boundary links and Blanchfield forms: Concordance classification and new tangle-theoretic constructions. Zbl 0828.57016 Cochran, Tim D.; Orr, Kent E. 9 1994 Stability of lower central series of compact 3-manifold groups. Zbl 0902.57012 Cochran, T. D.; Orr, Kent E. 9 1998 New link invariants and applications. Zbl 0637.57016 Orr, Kent E. 7 1987 Hidden torsion, 3-manifolds, and homology cobordism. Zbl 1297.57053 Cha, Jae Choon; Orr, Kent E. 6 2013 A new look at finitely generated metabelian groups. Zbl 1283.20032 Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E. 6 2012 A survey of applications of surgery to knot and link theory. Zbl 0946.57001 Levine, Jerome; Orr, Kent E. 4 2000 Localization, metabelian groups, and the isomorphism problem. Zbl 1370.20032 Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E. 4 2017 Milnor link invariants and quantum 3-manifold invariants. Zbl 0935.57019 Habegger, Nathan; Orr, Kent E. 3 1999 Link concordance invariants and Massey products. Zbl 0756.57014 Orr, Kent E. 3 1991 Homology cobordism and generalizations of Milnor’s invariants. Zbl 0938.57005 Cochran, Tim D.; Orr, Kent E. 2 1999 Finite type three manifold invariants—realization and vanishing. Zbl 1005.57007 Habegger, Nathan; Orr, Kent E. 2 1999 Links with vanishing homotopy invariant. Zbl 0805.57016 Levine, J.; Mio, W.; Orr, K. E. 2 1993 Whitney towers and abelian invariants of knots. Zbl 1478.57004 Cha, Jae Choon; Orr, Kent E.; Powell, Mark 1 2020 Whitney towers and abelian invariants of knots. Zbl 1478.57004 Cha, Jae Choon; Orr, Kent E.; Powell, Mark 1 2020 Localization, metabelian groups, and the isomorphism problem. Zbl 1370.20032 Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E. 4 2017 Hidden torsion, 3-manifolds, and homology cobordism. Zbl 1297.57053 Cha, Jae Choon; Orr, Kent E. 6 2013 \(L^2\)-signatures, homology localization, and amenable groups. Zbl 1256.57018 Cha, Jae Choon; Orr, Kent E. 14 2012 A new look at finitely generated metabelian groups. Zbl 1283.20032 Baumslag, Gilbert; Mikhailov, Roman; Orr, Kent E. 6 2012 Cluster complexes via semi-invariants. Zbl 1180.14047 Igusa, Kiyoshi; Orr, Kent; Todorov, Gordana; Weyman, Jerzy 28 2009 Structure in the classical knot concordance group. Zbl 1061.57008 Cochran, Tim D.; Orr, Kent E.; Teichner, Peter 57 2004 Knot concordance, Whitney towers and \(L^2\)-signatures. Zbl 1044.57001 Cochran, Tim D.; Orr, Kent E.; Teichner, Peter 124 2003 Links, pictures and the homology of nilpotent groups. Zbl 1002.57012 Igusa, Kiyoshi; Orr, Kent E. 26 2001 Dehn surgery equivalence relations on 3-manifolds. Zbl 0984.57010 Cochran, Tim D.; Gerges, Amir; Orr, Kent 17 2001 A survey of applications of surgery to knot and link theory. Zbl 0946.57001 Levine, Jerome; Orr, Kent E. 4 2000 Milnor link invariants and quantum 3-manifold invariants. Zbl 0935.57019 Habegger, Nathan; Orr, Kent E. 3 1999 Homology cobordism and generalizations of Milnor’s invariants. Zbl 0938.57005 Cochran, Tim D.; Orr, Kent E. 2 1999 Finite type three manifold invariants—realization and vanishing. Zbl 1005.57007 Habegger, Nathan; Orr, Kent E. 2 1999 Stability of lower central series of compact 3-manifold groups. Zbl 0902.57012 Cochran, T. D.; Orr, Kent E. 9 1998 Homology boundary links and Blanchfield forms: Concordance classification and new tangle-theoretic constructions. Zbl 0828.57016 Cochran, Tim D.; Orr, Kent E. 9 1994 Not all links are concordant to boundary links. Zbl 0828.57015 Cochran, Tim D.; Orr, Kent E. 35 1993 Links with vanishing homotopy invariant. Zbl 0805.57016 Levine, J.; Mio, W.; Orr, K. E. 2 1993 Link concordance invariants and Massey products. Zbl 0756.57014 Orr, Kent E. 3 1991 Not all links are concordant to boundary links. Zbl 0705.57012 Cochran, T. D.; Orr, K. E. 9 1990 Homotopy invariants of links. Zbl 0668.57014 Orr, Kent E. 27 1989 Bousfield localization as an algebraic closure of groups. Zbl 0684.55011 Dror Farjoun, Emmanuel; Orr, K.; Shelah, Saharon 9 1989 New link invariants and applications. Zbl 0637.57016 Orr, Kent E. 7 1987 all cited Publications top 5 cited Publications all top 5 Cited by 171 Authors 21 Cha, Jae Choon 21 Powell, Mark 17 Cochran, Thomas (Tim) Daniel 14 Livingston, Charles 13 Friedl, Stefan 12 Ogasa, Eiji 10 Mikhaĭlov, Roman Valer’evich 10 Teichner, Peter 9 Harvey, Shelly L. 9 Kim, Taehee 8 Igusa, Kiyoshi 8 Orr, Kent E. 8 Schneiderman, Rob 7 Massuyeau, Gwénaël 7 Ray, Arunima 6 Davis, Christopher William 6 Nosaka, Takefumi 6 Park, Junghwan 6 Sakasai, Takuya 5 Conway, Anthony 5 Ivanov, Sergei Olegovich 5 Kim, Min Hoon 5 Leidy, Constance 5 Miller, Allison N. 5 Ruberman, Daniel 4 Chindris, Calin 4 Conant, James 4 Feller, Peter 4 Horn, Peter D. 4 Kim, Se-Goo 4 Orson, Patrick 4 Todorov, Gordana 3 Habiro, Kazuo 3 Hedden, Matthew 3 Kauffman, Louis Hirsch 3 Kirk, Paul A. 3 Levine, Jerome P. 3 Martin, Taylor E. 3 Meilhan, Jean-Baptiste 3 Nagel, Matthias 3 Otto, Carolyn 3 Suciu, Alexander I. 2 Aragona, Riccardo 2 Baumslag, Gilbert 2 Benedetti, Riccardo 2 Borodzik, Maciej 2 Brüstle, Thomas 2 Chrisman, Micah Whitney 2 Day, Matthew B. 2 Dror Farjoun, Emmanuel 2 Fei, Jiarui 2 Frigerio, Roberto 2 Garoufalidis, Stavros 2 Gilmer, Patrick M. 2 Goda, Hiroshi 2 Hanson, Eric J. 2 Hermes, Stephen 2 Hom, Jennifer 2 Jang, Hye Jin 2 Kitayama, Takahiro 2 Kricker, Andrew 2 Lewark, Lukas 2 Li, Guisong 2 Maxim, Laurentiu G. 2 Melikhov, Sergey Aleksandrovich 2 Militaru, Gigel 2 Paquette, Charles 2 Passi, Inder Bir Singh 2 Piccirillo, Lisa 2 Reading, Nathan 2 Scevenels, Dirk 2 Thomas, Hugh Ross 2 Treffinger, Hipolito 2 Weyman, Jerzy M. 1 Agore, Ana-Loredana 1 Akhtiamov, Danil 1 Aladova, Elena V. 1 Apruzzese, P. J. 1 Barnard, Emily 1 Bellis, Paul 1 Bullock, Evan M. 1 Burke, John R. 1 Carter, J. Scott 1 Cerulli Irelli, Giovanni 1 Chen, Wenzhao 1 Cheptea, Dorin 1 Collins, Julia 1 Demonet, Laurent 1 Derksen, Harm 1 Descheemaeker, An 1 DeTurck, Dennis M. 1 Florens, Vincent 1 Franklin, Bridget D. 1 Funke, Florian 1 Gadgil, Siddhartha 1 Ghiloni, Riccardo 1 Gluck, Herman 1 Granger, Valerie 1 Grigsby, Julia Elisenda 1 Habegger, Nathan ...and 71 more Authors all top 5 Cited in 80 Serials 37 Algebraic & Geometric Topology 24 Journal of Knot Theory and its Ramifications 19 Geometry & Topology 16 Proceedings of the American Mathematical Society 16 Transactions of the American Mathematical Society 10 Advances in Mathematics 8 Mathematical Proceedings of the Cambridge Philosophical Society 8 Topology and its Applications 5 Inventiones Mathematicae 5 Journal of Pure and Applied Algebra 5 Mathematische Annalen 4 Israel Journal of Mathematics 4 Mathematische Zeitschrift 4 Algebras and Representation Theory 4 Winter Braids Lecture Notes 3 Journal of the London Mathematical Society. Second Series 3 Michigan Mathematical Journal 3 Journal of Topology and Analysis 2 Communications in Algebra 2 Communications on Pure and Applied Mathematics 2 Bulletin of the London Mathematical Society 2 Compositio Mathematica 2 Geometriae Dedicata 2 Journal of Algebra 2 Forum Mathematicum 2 International Journal of Mathematics 2 International Journal of Algebra and Computation 2 Bulletin of the American Mathematical Society. New Series 2 Documenta Mathematica 2 Journal of Topology 1 International Journal of Modern Physics A 1 Communications in Mathematical Physics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Duke Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Journal of the American Mathematical Society 1 Sugaku Expositions 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Expositiones Mathematicae 1 Experimental Mathematics 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Transformation Groups 1 Journal of Group Theory 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Advances in Geometry 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Algebra and its Applications 1 Oberwolfach Reports 1 Proceedings of the Steklov Institute of Mathematics 1 Groups, Geometry, and Dynamics 1 Quantum Topology 1 Forum of Mathematics, Sigma 1 Proceedings of the American Mathematical Society. Series B 1 Transactions of the American Mathematical Society. Series B 1 Prikladnaya Diskretnaya Matematika 1 Electronic Research Archive all top 5 Cited in 26 Fields 206 Manifolds and cell complexes (57-XX) 40 Group theory and generalizations (20-XX) 33 Associative rings and algebras (16-XX) 24 Algebraic topology (55-XX) 11 Algebraic geometry (14-XX) 10 Commutative algebra (13-XX) 10 Category theory; homological algebra (18-XX) 6 Combinatorics (05-XX) 6 Nonassociative rings and algebras (17-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Number theory (11-XX) 3 \(K\)-theory (19-XX) 3 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year