# zbMATH — the first resource for mathematics

## Quinn, Frank S.

Compute Distance To:
 Author ID: quinn.frank-s Published as: Quinn, F.; Quinn, Frank; Quinn, Frank S. External Links: MGP · Wikidata · GND
 Documents Indexed: 68 Publications since 1970, including 4 Books
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#### Co-Authors

 50 single-authored 3 Freedman, Michael Hartley 3 Jaffe, Arthur Michael 3 Ranicki, Andrew A. 2 Bobtcheva, Ivelina 1 Browder, William 1 Davis, James Frederic 1 Freed, Daniel Stuart 1 Furedi, Zoltan 1 Hatcher, Allen Edward 1 Pedersen, Erik Kjær 1 Krushkal, Vyacheslav S. 1 Levitt, Norman 1 Reich, Holger 1 Sard, Arthur
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#### Serials

 5 Transactions of the American Mathematical Society 5 Bulletin of the American Mathematical Society. New Series 4 Notices of the American Mathematical Society 3 Inventiones Mathematicae 2 American Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Journal of Differential Geometry 2 Topology 2 Bulletin of the American Mathematical Society 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Ars Combinatoria 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Journal of Pure and Applied Algebra 1 Michigan Mathematical Journal 1 Topology and its Applications 1 Journal of the American Mathematical Society 1 Pokroky Matematiky, Fyziky & Astronomie 1 Science Bulletin of Josai University 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Pure and Applied Mathematics Quarterly 1 Annals of Mathematics Studies 1 Lecture Notes in Mathematics 1 Geometry and Topology Monographs 1 Journal of Topology
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#### Fields

 52 Manifolds and cell complexes (57-XX) 13 Algebraic topology (55-XX) 9 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 5 Category theory; homological algebra (18-XX) 4 $$K$$-theory (19-XX) 4 Quantum theory (81-XX) 4 Mathematics education (97-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 General topology (54-XX) 1 Combinatorics (05-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX)

#### Citations contained in zbMATH

53 Publications have been cited 928 times in 717 Documents Cited by Year
Topology of 4-manifolds. Zbl 0705.57001
Freedman, Michael H.; Quinn, Frank S.
1990
Ends of maps. III: Dimensions 4 and 5. Zbl 0533.57009
Quinn, Frank
1982
Chern-Simons theory with finite gauge group. Zbl 0788.58013
Freed, Daniel S.; Quinn, Frank
1993
Ends of maps. I. Zbl 0394.57022
Quinn, Frank
1979
Ends of Maps. II. Zbl 0533.57008
Quinn, Frank
1982
Homotopically stratified sets. Zbl 0655.57010
Quinn, Frank
1988
An obstruction to the resolution of homology manifolds. Zbl 0652.57011
Quinn, Frank
1987
Lectures on axiomatic topological quantum field theory. Zbl 0901.18002
Quinn, Frank
1995
Resolutions of homology manifolds, and the topological characterization of manifolds. Zbl 0555.57003
Quinn, Frank
1983
Bordism invariants of intersections of submanifolds. Zbl 0291.57019
Hatcher, Allen E.; Quinn, Frank
1974
Surgery on Poincaré and normal spaces. Zbl 0233.57007
Quinn, Frank
1972
“Theoretical mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0780.00001
Jaffe, Arthur; Quinn, Frank
1993
A surgery theory for G-manifolds and stratified sets. Zbl 0343.57017
Browder, William; Quinn, Frank
1975
Transversal approximation on Banach manifolds. Zbl 0206.25705
Quinn, F.
1970
Subexponential groups in $$4$$-manifold topology. Zbl 0954.57005
Krushkal, Vyacheslav S.; Quinn, Frank
2000
Isotopy of 4-manifolds. Zbl 0617.57007
Quinn, Frank
1986
Hausdorff conullity of critical images of Fredholm maps. Zbl 0255.58003
Quinn, Frank; Sard, Arthur
1972
Algebraic $$K$$-theory over the infinite dihedral group: a controlled topology approach. Zbl 1227.19004
Davis, James F.; Quinn, Frank; Reich, Holger
2011
Algebraic K-theory of poly-(finite or cyclic) groups. Zbl 0574.18006
Quinn, Frank
1985
Traces of finite sets. Zbl 0557.05003
Füredi, Z.; Quinn, F.
1984
A geometric formulation of surgery. Zbl 0284.57020
Quinn, Frank
1971
Problems in low-dimensional topology. Zbl 0892.57013
Quinn, Frank
1997
Controlled surgery with trivial local fundamental groups. Zbl 1050.57025
Pedersen, Erik Kjær; Quinn, Frank; Ranicki, Andrew
2003
Group categories and their field theories. Zbl 0964.18003
Quinn, Frank
1999
Intrinsic skeleta and intersection homology of weakly stratified sets. Zbl 0619.57007
Quinn, Frank
1987
Open book decompositions, and the bordism of automorphisms. Zbl 0425.57010
Quinn, Frank
1979
Topological transversality holds in all dimensions. Zbl 0669.57006
Quinn, Frank
1988
The stable topology of 4-manifolds. Zbl 0536.57006
Quinn, Frank
1983
Algebraic $$K$$-theory over virtually abelian groups. Zbl 1235.19001
Quinn, Frank
2012
Corrigendum to: Resolutions of homology manifolds, and the topological characterization of manifolds. Zbl 0603.57008
Quinn, Frank
1986
$$B_{(TOP_ n)}\sim$$ and the surgery obstruction. Zbl 0226.57015
Quinn, Frank
1971
Dual decompositions of 4-manifolds. Zbl 0993.57017
Quinn, Frank
2002
Slightly singular 4-manifolds. Zbl 0459.57008
Freedman, Michael; Quinn, Frank
1981
Applications of topology with control. Zbl 0673.57017
Quinn, Frank
1987
Ends of maps. IV: Controlled pseudoisotropy. Zbl 0615.57010
Quinn, Frank
1986
The embedding theorem for two towers. Zbl 0568.57010
Quinn, Frank
1984
Nilpotent classifying spaces, and actions of finite groups. Zbl 0392.55011
Quinn, Frank
1978
Controlled K-theory. I: Basic theory. Zbl 1286.19006
Quinn, Frank
2012
A quick proof of the 4-dimensional stable surgery theorem. Zbl 0453.57024
Freedman, Michael; Quinn, Frank
1980
Finite nilpotent group actions on finite complexes. Zbl 0394.55002
Quinn, Frank
1978
A revolution in mathematics? What really happened a century ago and why it matters today. Zbl 1261.00006
Quinn, Frank
2012
Problems on homology manifolds. Zbl 1108.57017
Quinn, Frank
2006
The reduction of quantum invariants of 4-thickenings. Zbl 1097.57004
Bobtcheva, Ivelina; Quinn, Frank
2005
Lectures on controlled topology: mapping cylinder neighborhoods. Zbl 1073.57505
Quinn, Frank
2002
Numerical presentations of tortile categories. Zbl 0937.18001
Bobtcheva, Ivelina; Quinn, Frank
1999
Assembly maps in bordism-type theories. Zbl 0995.57503
Quinn, Frank
1995
Speculations on Gromov convergence of stratified sets, and Riemannian volume collapse. Zbl 0929.53021
Quinn, Frank
1995
Response to comments on “theoretical mathematics”. Zbl 0803.01015
Jaffe, Arthur; Quinn, Frank
1994
Geometric algebra. Zbl 0589.57033
Quinn, Frank
1985
Smooth structures on 4-manifolds. Zbl 0568.57011
Quinn, Frank
1984
Ends of maps and applications. Zbl 0424.57008
Quinn, Frank
1979
Extensions of maps as fibrations and cofibrations. Zbl 0308.55005
Quinn, Frank
1975
Almost canonical inverse images. Zbl 0318.57014
Quinn, Frank
1974
Algebraic $$K$$-theory over virtually abelian groups. Zbl 1235.19001
Quinn, Frank
2012
Controlled K-theory. I: Basic theory. Zbl 1286.19006
Quinn, Frank
2012
A revolution in mathematics? What really happened a century ago and why it matters today. Zbl 1261.00006
Quinn, Frank
2012
Algebraic $$K$$-theory over the infinite dihedral group: a controlled topology approach. Zbl 1227.19004
Davis, James F.; Quinn, Frank; Reich, Holger
2011
Problems on homology manifolds. Zbl 1108.57017
Quinn, Frank
2006
The reduction of quantum invariants of 4-thickenings. Zbl 1097.57004
Bobtcheva, Ivelina; Quinn, Frank
2005
Controlled surgery with trivial local fundamental groups. Zbl 1050.57025
Pedersen, Erik Kjær; Quinn, Frank; Ranicki, Andrew
2003
Dual decompositions of 4-manifolds. Zbl 0993.57017
Quinn, Frank
2002
Lectures on controlled topology: mapping cylinder neighborhoods. Zbl 1073.57505
Quinn, Frank
2002
Subexponential groups in $$4$$-manifold topology. Zbl 0954.57005
Krushkal, Vyacheslav S.; Quinn, Frank
2000
Group categories and their field theories. Zbl 0964.18003
Quinn, Frank
1999
Numerical presentations of tortile categories. Zbl 0937.18001
Bobtcheva, Ivelina; Quinn, Frank
1999
Problems in low-dimensional topology. Zbl 0892.57013
Quinn, Frank
1997
Lectures on axiomatic topological quantum field theory. Zbl 0901.18002
Quinn, Frank
1995
Assembly maps in bordism-type theories. Zbl 0995.57503
Quinn, Frank
1995
Speculations on Gromov convergence of stratified sets, and Riemannian volume collapse. Zbl 0929.53021
Quinn, Frank
1995
Response to comments on “theoretical mathematics”. Zbl 0803.01015
Jaffe, Arthur; Quinn, Frank
1994
Chern-Simons theory with finite gauge group. Zbl 0788.58013
Freed, Daniel S.; Quinn, Frank
1993
“Theoretical mathematics”: Toward a cultural synthesis of mathematics and theoretical physics. Zbl 0780.00001
Jaffe, Arthur; Quinn, Frank
1993
Topology of 4-manifolds. Zbl 0705.57001
Freedman, Michael H.; Quinn, Frank S.
1990
Homotopically stratified sets. Zbl 0655.57010
Quinn, Frank
1988
Topological transversality holds in all dimensions. Zbl 0669.57006
Quinn, Frank
1988
An obstruction to the resolution of homology manifolds. Zbl 0652.57011
Quinn, Frank
1987
Intrinsic skeleta and intersection homology of weakly stratified sets. Zbl 0619.57007
Quinn, Frank
1987
Applications of topology with control. Zbl 0673.57017
Quinn, Frank
1987
Isotopy of 4-manifolds. Zbl 0617.57007
Quinn, Frank
1986
Corrigendum to: Resolutions of homology manifolds, and the topological characterization of manifolds. Zbl 0603.57008
Quinn, Frank
1986
Ends of maps. IV: Controlled pseudoisotropy. Zbl 0615.57010
Quinn, Frank
1986
Algebraic K-theory of poly-(finite or cyclic) groups. Zbl 0574.18006
Quinn, Frank
1985
Geometric algebra. Zbl 0589.57033
Quinn, Frank
1985
Traces of finite sets. Zbl 0557.05003
Füredi, Z.; Quinn, F.
1984
The embedding theorem for two towers. Zbl 0568.57010
Quinn, Frank
1984
Smooth structures on 4-manifolds. Zbl 0568.57011
Quinn, Frank
1984
Resolutions of homology manifolds, and the topological characterization of manifolds. Zbl 0555.57003
Quinn, Frank
1983
The stable topology of 4-manifolds. Zbl 0536.57006
Quinn, Frank
1983
Ends of maps. III: Dimensions 4 and 5. Zbl 0533.57009
Quinn, Frank
1982
Ends of Maps. II. Zbl 0533.57008
Quinn, Frank
1982
Slightly singular 4-manifolds. Zbl 0459.57008
Freedman, Michael; Quinn, Frank
1981
A quick proof of the 4-dimensional stable surgery theorem. Zbl 0453.57024
Freedman, Michael; Quinn, Frank
1980
Ends of maps. I. Zbl 0394.57022
Quinn, Frank
1979
Open book decompositions, and the bordism of automorphisms. Zbl 0425.57010
Quinn, Frank
1979
Ends of maps and applications. Zbl 0424.57008
Quinn, Frank
1979
Nilpotent classifying spaces, and actions of finite groups. Zbl 0392.55011
Quinn, Frank
1978
Finite nilpotent group actions on finite complexes. Zbl 0394.55002
Quinn, Frank
1978
A surgery theory for G-manifolds and stratified sets. Zbl 0343.57017
Browder, William; Quinn, Frank
1975
Extensions of maps as fibrations and cofibrations. Zbl 0308.55005
Quinn, Frank
1975
Bordism invariants of intersections of submanifolds. Zbl 0291.57019
Hatcher, Allen E.; Quinn, Frank
1974
Almost canonical inverse images. Zbl 0318.57014
Quinn, Frank
1974
Surgery on Poincaré and normal spaces. Zbl 0233.57007
Quinn, Frank
1972
Hausdorff conullity of critical images of Fredholm maps. Zbl 0255.58003
Quinn, Frank; Sard, Arthur
1972
A geometric formulation of surgery. Zbl 0284.57020
Quinn, Frank
1971
$$B_{(TOP_ n)}\sim$$ and the surgery obstruction. Zbl 0226.57015
Quinn, Frank
1971
Transversal approximation on Banach manifolds. Zbl 0206.25705
Quinn, F.
1970
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#### Cited by 701 Authors

 17 Quinn, Frank S. 17 Repovš, Dušan D. 15 Freedman, Michael Hartley 13 Farrell, F. Thomas 13 Teichner, Peter 12 Daverman, Robert J. 12 Hegenbarth, Friedrich 12 Weinberger, Shmuel 11 Khan, Qayum 11 Kwasik, Sławomir 10 Cochran, Thomas (Tim) Daniel 10 Ferry, Steven C. 10 Lück, Wolfgang 10 Schultz, Reinhard E. 9 Bryant, John Logan 9 Jones, Lowell Edwin 8 Bartels, Arthur C. 8 Cavicchioli, Alberto 8 Gompf, Robert E. 8 Livingston, Charles 8 Schneiderman, Rob 7 Friedman, Greg 7 Krushkal, Vyacheslav S. 7 Ruberman, Daniel 7 Williams, Bruce 6 Davis, James Frederic 6 El Naschie, Mohamed Saladin 6 Freed, Daniel Stuart 6 Guilbault, Craig R. 6 Hillman, Jonathan Arthur 6 Ranicki, Andrew A. 6 Spaggiari, Fulvia 5 Hambleton, Ian 5 Harvey, Shelly L. 5 Kim, Hee Jung 5 Kim, Taehee 5 Klein, John Robert 5 Muranov, Yuriĭ Vladimirovich 5 Venema, Gerard A. 4 Anderson, Douglas Ross 4 Anstee, Richard P. 4 Friedl, Stefan 4 Gu, Shijie 4 Hodgson, Jonathan P. E. 4 Hughes, Bruce 4 Hughes, C. Bruce 4 Juan-Pineda, Daniel 4 Kawauchi, Akio 4 Kirk, Paul A. 4 Pedersen, Erik Kjær 4 Koschorke, Ulrich 4 Mio, Washington 4 Müller, Lukas 4 Reich, Holger 4 Roushon, Sayed K. 4 Runkel, Ingo 4 Schweigert, Christoph 4 Thickstun, Thomas L. 3 Ayala, David 3 Borodzik, Maciej 3 Calcut, Jack S. 3 Cha, Jae Choon 3 Chapman, Thomas Ashland 3 Conant, James 3 Connolly, Frank 3 Francis, John 3 Gómez Larrañaga, José Carlos 3 González Acuña, Francisco Javier 3 Grove, Karsten 3 Hedden, Matthew 3 Heil, Wolfgang H. 3 Heinonen, Juha 3 Horn, Peter D. 3 Kim, Min Hoon 3 Kreck, Matthias 3 Lafont, Jean-François 3 Melikhov, Sergey Aleksandrovich 3 Mitchell, William James Rae 3 Monnier, Samuel 3 Munkholm, Hans Jørgen 3 Nakamura, Nobuhiro 3 Ortiz, Ivonne Johanna 3 Park, B. Doug 3 Pistoia, Angela 3 Powell, Mark 3 Rabier, Patrick J. 3 Rowell, Eric C. 3 Saeki, Osamu 3 Steimle, Wolfgang 3 Steinberger, Mark 3 Stong, Richard A. 3 Tinsley, Frederick C. 3 Turaev, Vladimir G. 3 Walsh, John J. 3 Wang, Zhenghan 3 Weiss, Michael S. 3 Winges, Christoph 3 Yamasaki, Masayuki 3 Yan, Min 2 Altschuler, Daniel ...and 601 more Authors
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#### Cited in 155 Serials

 83 Topology and its Applications 51 Algebraic & Geometric Topology 46 Geometry & Topology 44 Transactions of the American Mathematical Society 28 Proceedings of the American Mathematical Society 26 Inventiones Mathematicae 24 Bulletin of the American Mathematical Society. New Series 21 Communications in Mathematical Physics 18 Advances in Mathematics 17 Journal of Knot Theory and its Ramifications 16 $$K$$-Theory 13 Mathematische Annalen 10 Journal of Pure and Applied Algebra 10 Mathematische Zeitschrift 9 Duke Mathematical Journal 8 Mathematical Proceedings of the Cambridge Philosophical Society 7 Chaos, Solitons and Fractals 7 Journal of the American Mathematical Society 7 Journal of Topology and Analysis 6 Compositio Mathematica 6 Bulletin of the American Mathematical Society 5 Nuclear Physics. B 5 Journal of Geometry and Physics 5 The Mathematical Intelligencer 5 Geometriae Dedicata 5 Journal für die Reine und Angewandte Mathematik 5 Manuscripta Mathematica 5 Journal of High Energy Physics 5 Journal of Fixed Point Theory and Applications 4 Journal of Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Combinatorial Theory. Series A 4 Forum Mathematicum 4 Journal of Mathematical Sciences (New York) 4 Journal of Homotopy and Related Structures 4 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 3 International Journal of Modern Physics A 3 Israel Journal of Mathematics 3 Letters in Mathematical Physics 3 Bulletin of the London Mathematical Society 3 Publications Mathématiques 3 Journal of Algebra 3 Journal of Differential Equations 3 Journal of Functional Analysis 3 Kodai Mathematical Journal 3 Michigan Mathematical Journal 3 International Journal of Mathematics 3 Selecta Mathematica. New Series 3 Annals of Mathematics. Second Series 3 Proceedings of the Steklov Institute of Mathematics 3 Journal of Topology 2 Bulletin of the Australian Mathematical Society 2 Discrete Applied Mathematics 2 Discrete Mathematics 2 International Journal of Theoretical Physics 2 Journal d’Analyse Mathématique 2 Mathematical Notes 2 Reviews in Mathematical Physics 2 Acta Mathematica 2 Canadian Mathematical Bulletin 2 Journal of Geometry 2 Journal of the London Mathematical Society. Second Series 2 Journal of Mathematical Economics 2 Journal of the Mathematical Society of Japan 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Advances in Applied Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the National Academy of Sciences of the United States of America 2 St. Petersburg Mathematical Journal 2 The New York Journal of Mathematics 2 Theory and Applications of Categories 2 Erkenntnis 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Mediterranean Journal of Mathematics 2 Bulletin of Mathematical Sciences 1 Archive for Rational Mechanics and Analysis 1 General Relativity and Gravitation 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Czechoslovak Mathematical Journal 1 Hiroshima Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series B 1 Journal of Number Theory 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Mathematica Slovaca 1 Mathematika 1 Osaka Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Results in Mathematics ...and 55 more Serials
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#### Cited in 50 Fields

 512 Manifolds and cell complexes (57-XX) 138 Algebraic topology (55-XX) 81 Quantum theory (81-XX) 64 Category theory; homological algebra (18-XX) 63 Differential geometry (53-XX) 61 $$K$$-theory (19-XX) 50 Group theory and generalizations (20-XX) 46 General topology (54-XX) 44 Global analysis, analysis on manifolds (58-XX) 26 Algebraic geometry (14-XX) 26 Dynamical systems and ergodic theory (37-XX) 23 Several complex variables and analytic spaces (32-XX) 23 Relativity and gravitational theory (83-XX) 19 Associative rings and algebras (16-XX) 16 General and overarching topics; collections (00-XX) 15 Combinatorics (05-XX) 15 Topological groups, Lie groups (22-XX) 14 Functional analysis (46-XX) 12 History and biography (01-XX) 10 Nonassociative rings and algebras (17-XX) 10 Partial differential equations (35-XX) 10 Operator theory (47-XX) 9 Geometry (51-XX) 7 Number theory (11-XX) 7 Measure and integration (28-XX) 6 Functions of a complex variable (30-XX) 6 Computer science (68-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 4 Mathematical logic and foundations (03-XX) 3 Convex and discrete geometry (52-XX) 3 Probability theory and stochastic processes (60-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)

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